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Finding the Third Proportional to 163,453.50 and 225,092.25

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Solution

The third proportional to 163,453.50 and 225,092.25 is: 309,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,453.50 : 225,092.25 = 225,092.25 : x
  2. Step 2: Convert to fraction form
    163,453.50/225,092.25 = 225,092.25/x
  3. Step 3: Cross multiply
    163,453.50x = 225,092.25 × 225,092.25
  4. Step 4: Simplify right side
    163,453.50x = 50,666,521,010.06
  5. Step 5: Solve for x
    x = 50,666,521,010.06/163,453.50
  6. Step 6: Final answer
    x = 309,975.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.