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Finding the Third Proportional to 165,524 and 242,559

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Solution

The third proportional to 165,524 and 242,559 is: 355,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,524 : 242,559 = 242,559 : x
  2. Step 2: Convert to fraction form
    165,524/242,559 = 242,559/x
  3. Step 3: Cross multiply
    165,524x = 242,559 × 242,559
  4. Step 4: Simplify right side
    165,524x = 58,834,868,481
  5. Step 5: Solve for x
    x = 58,834,868,481/165,524
  6. Step 6: Final answer
    x = 355,446.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.