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Finding the Third Proportional to 164,142 and 247,374

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Solution

The third proportional to 164,142 and 247,374 is: 372,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,142 : 247,374 = 247,374 : x
  2. Step 2: Convert to fraction form
    164,142/247,374 = 247,374/x
  3. Step 3: Cross multiply
    164,142x = 247,374 × 247,374
  4. Step 4: Simplify right side
    164,142x = 61,193,895,876
  5. Step 5: Solve for x
    x = 61,193,895,876/164,142
  6. Step 6: Final answer
    x = 372,810.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.