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Finding the Third Proportional to 173,920 and 261,264

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Solution

The third proportional to 173,920 and 261,264 is: 392,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,920 : 261,264 = 261,264 : x
  2. Step 2: Convert to fraction form
    173,920/261,264 = 261,264/x
  3. Step 3: Cross multiply
    173,920x = 261,264 × 261,264
  4. Step 4: Simplify right side
    173,920x = 68,258,877,696
  5. Step 5: Solve for x
    x = 68,258,877,696/173,920
  6. Step 6: Final answer
    x = 392,472.85

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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.