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Finding the Third Proportional to 171,784 and 247,424

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Solution

The third proportional to 171,784 and 247,424 is: 356,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,784 : 247,424 = 247,424 : x
  2. Step 2: Convert to fraction form
    171,784/247,424 = 247,424/x
  3. Step 3: Cross multiply
    171,784x = 247,424 × 247,424
  4. Step 4: Simplify right side
    171,784x = 61,218,635,776
  5. Step 5: Solve for x
    x = 61,218,635,776/171,784
  6. Step 6: Final answer
    x = 356,369.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.