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Finding the Third Proportional to 161,434 and 242,727

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Solution

The third proportional to 161,434 and 242,727 is: 364,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,434 : 242,727 = 242,727 : x
  2. Step 2: Convert to fraction form
    161,434/242,727 = 242,727/x
  3. Step 3: Cross multiply
    161,434x = 242,727 × 242,727
  4. Step 4: Simplify right side
    161,434x = 58,916,396,529
  5. Step 5: Solve for x
    x = 58,916,396,529/161,434
  6. Step 6: Final answer
    x = 364,956.56

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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.