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Finding the Third Proportional to 229,666.50 and 337,695.75

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Solution

The third proportional to 229,666.50 and 337,695.75 is: 496,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,666.50 : 337,695.75 = 337,695.75 : x
  2. Step 2: Convert to fraction form
    229,666.50/337,695.75 = 337,695.75/x
  3. Step 3: Cross multiply
    229,666.50x = 337,695.75 × 337,695.75
  4. Step 4: Simplify right side
    229,666.50x = 114,038,419,568.06
  5. Step 5: Solve for x
    x = 114,038,419,568.06/229,666.50
  6. Step 6: Final answer
    x = 496,539.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.