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Finding the Third Proportional to 159,654.80 and 240,148.55

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Solution

The third proportional to 159,654.80 and 240,148.55 is: 361,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,654.80 : 240,148.55 = 240,148.55 : x
  2. Step 2: Convert to fraction form
    159,654.80/240,148.55 = 240,148.55/x
  3. Step 3: Cross multiply
    159,654.80x = 240,148.55 × 240,148.55
  4. Step 4: Simplify right side
    159,654.80x = 57,671,324,566.17
  5. Step 5: Solve for x
    x = 57,671,324,566.17/159,654.80
  6. Step 6: Final answer
    x = 361,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.