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Finding the Third Proportional to 145,962.38 and 219,987.56

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Solution

The third proportional to 145,962.38 and 219,987.56 is: 331,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962.38 : 219,987.56 = 219,987.56 : x
  2. Step 2: Convert to fraction form
    145,962.38/219,987.56 = 219,987.56/x
  3. Step 3: Cross multiply
    145,962.38x = 219,987.56 × 219,987.56
  4. Step 4: Simplify right side
    145,962.38x = 48,394,527,654.69
  5. Step 5: Solve for x
    x = 48,394,527,654.69/145,962.38
  6. Step 6: Final answer
    x = 331,554.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.