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Finding the Third Proportional to 163,884.50 and 356,609.50

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Solution

The third proportional to 163,884.50 and 356,609.50 is: 775,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,884.50 : 356,609.50 = 356,609.50 : x
  2. Step 2: Convert to fraction form
    163,884.50/356,609.50 = 356,609.50/x
  3. Step 3: Cross multiply
    163,884.50x = 356,609.50 × 356,609.50
  4. Step 4: Simplify right side
    163,884.50x = 127,170,335,490.25
  5. Step 5: Solve for x
    x = 127,170,335,490.25/163,884.50
  6. Step 6: Final answer
    x = 775,975.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.