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Finding the Third Proportional to 113,149.13 and 239,419.69

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Solution

The third proportional to 113,149.13 and 239,419.69 is: 506,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,149.13 : 239,419.69 = 239,419.69 : x
  2. Step 2: Convert to fraction form
    113,149.13/239,419.69 = 239,419.69/x
  3. Step 3: Cross multiply
    113,149.13x = 239,419.69 × 239,419.69
  4. Step 4: Simplify right side
    113,149.13x = 57,321,786,762.60
  5. Step 5: Solve for x
    x = 57,321,786,762.60/113,149.13
  6. Step 6: Final answer
    x = 506,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.