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Finding the Third Proportional to 163,147.50 and 229,747.50

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Solution

The third proportional to 163,147.50 and 229,747.50 is: 323,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,147.50 : 229,747.50 = 229,747.50 : x
  2. Step 2: Convert to fraction form
    163,147.50/229,747.50 = 229,747.50/x
  3. Step 3: Cross multiply
    163,147.50x = 229,747.50 × 229,747.50
  4. Step 4: Simplify right side
    163,147.50x = 52,783,913,756.25
  5. Step 5: Solve for x
    x = 52,783,913,756.25/163,147.50
  6. Step 6: Final answer
    x = 323,534.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.