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Finding the Third Proportional to 164,385 and 247,523

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Solution

The third proportional to 164,385 and 247,523 is: 372,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,385 : 247,523 = 247,523 : x
  2. Step 2: Convert to fraction form
    164,385/247,523 = 247,523/x
  3. Step 3: Cross multiply
    164,385x = 247,523 × 247,523
  4. Step 4: Simplify right side
    164,385x = 61,267,635,529
  5. Step 5: Solve for x
    x = 61,267,635,529/164,385
  6. Step 6: Final answer
    x = 372,708.19

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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.