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Finding the Third Proportional to 242,150 and 364,089

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Solution

The third proportional to 242,150 and 364,089 is: 547,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,150 : 364,089 = 364,089 : x
  2. Step 2: Convert to fraction form
    242,150/364,089 = 364,089/x
  3. Step 3: Cross multiply
    242,150x = 364,089 × 364,089
  4. Step 4: Simplify right side
    242,150x = 132,560,799,921
  5. Step 5: Solve for x
    x = 132,560,799,921/242,150
  6. Step 6: Final answer
    x = 547,432.58

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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.