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Finding the Third Proportional to 237,073.50 and 516,753

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Solution

The third proportional to 237,073.50 and 516,753 is: 1,126,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,073.50 : 516,753 = 516,753 : x
  2. Step 2: Convert to fraction form
    237,073.50/516,753 = 516,753/x
  3. Step 3: Cross multiply
    237,073.50x = 516,753 × 516,753
  4. Step 4: Simplify right side
    237,073.50x = 267,033,663,009
  5. Step 5: Solve for x
    x = 267,033,663,009/237,073.50
  6. Step 6: Final answer
    x = 1,126,375.00

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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.