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Finding the Third Proportional to 234,658.75 and 363,517.25

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Solution

The third proportional to 234,658.75 and 363,517.25 is: 563,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,658.75 : 363,517.25 = 363,517.25 : x
  2. Step 2: Convert to fraction form
    234,658.75/363,517.25 = 363,517.25/x
  3. Step 3: Cross multiply
    234,658.75x = 363,517.25 × 363,517.25
  4. Step 4: Simplify right side
    234,658.75x = 132,144,791,047.56
  5. Step 5: Solve for x
    x = 132,144,791,047.56/234,658.75
  6. Step 6: Final answer
    x = 563,136.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.