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Finding the Third Proportional to 136,654 and 299,632

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Solution

The third proportional to 136,654 and 299,632 is: 656,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,654 : 299,632 = 299,632 : x
  2. Step 2: Convert to fraction form
    136,654/299,632 = 299,632/x
  3. Step 3: Cross multiply
    136,654x = 299,632 × 299,632
  4. Step 4: Simplify right side
    136,654x = 89,779,335,424
  5. Step 5: Solve for x
    x = 89,779,335,424/136,654
  6. Step 6: Final answer
    x = 656,982.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.