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Finding the Third Proportional to 234,562.50 and 363,318.75

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Solution

The third proportional to 234,562.50 and 363,318.75 is: 562,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,562.50 : 363,318.75 = 363,318.75 : x
  2. Step 2: Convert to fraction form
    234,562.50/363,318.75 = 363,318.75/x
  3. Step 3: Cross multiply
    234,562.50x = 363,318.75 × 363,318.75
  4. Step 4: Simplify right side
    234,562.50x = 132,000,514,101.56
  5. Step 5: Solve for x
    x = 132,000,514,101.56/234,562.50
  6. Step 6: Final answer
    x = 562,751.99

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