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Finding the Third Proportional to 135,704 and 289,441

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Solution

The third proportional to 135,704 and 289,441 is: 617,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,704 : 289,441 = 289,441 : x
  2. Step 2: Convert to fraction form
    135,704/289,441 = 289,441/x
  3. Step 3: Cross multiply
    135,704x = 289,441 × 289,441
  4. Step 4: Simplify right side
    135,704x = 83,776,092,481
  5. Step 5: Solve for x
    x = 83,776,092,481/135,704
  6. Step 6: Final answer
    x = 617,344.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.