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Finding the Third Proportional to 107,452.75 and 233,562.13

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Solution

The third proportional to 107,452.75 and 233,562.13 is: 507,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,452.75 : 233,562.13 = 233,562.13 : x
  2. Step 2: Convert to fraction form
    107,452.75/233,562.13 = 233,562.13/x
  3. Step 3: Cross multiply
    107,452.75x = 233,562.13 × 233,562.13
  4. Step 4: Simplify right side
    107,452.75x = 54,551,266,234.52
  5. Step 5: Solve for x
    x = 54,551,266,234.52/107,452.75
  6. Step 6: Final answer
    x = 507,676.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.