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Finding the Third Proportional to 229,304.04 and 337,211.86

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Solution

The third proportional to 229,304.04 and 337,211.86 is: 495,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,304.04 : 337,211.86 = 337,211.86 : x
  2. Step 2: Convert to fraction form
    229,304.04/337,211.86 = 337,211.86/x
  3. Step 3: Cross multiply
    229,304.04x = 337,211.86 × 337,211.86
  4. Step 4: Simplify right side
    229,304.04x = 113,711,838,103.15
  5. Step 5: Solve for x
    x = 113,711,838,103.15/229,304.04
  6. Step 6: Final answer
    x = 495,899.85

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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.