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Finding the Third Proportional to 155,304.38 and 332,742.75

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Solution

The third proportional to 155,304.38 and 332,742.75 is: 712,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,304.38 : 332,742.75 = 332,742.75 : x
  2. Step 2: Convert to fraction form
    155,304.38/332,742.75 = 332,742.75/x
  3. Step 3: Cross multiply
    155,304.38x = 332,742.75 × 332,742.75
  4. Step 4: Simplify right side
    155,304.38x = 110,717,737,677.56
  5. Step 5: Solve for x
    x = 110,717,737,677.56/155,304.38
  6. Step 6: Final answer
    x = 712,908.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.