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Finding the Third Proportional to 173,721 and 380,691

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Solution

The third proportional to 173,721 and 380,691 is: 834,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,721 : 380,691 = 380,691 : x
  2. Step 2: Convert to fraction form
    173,721/380,691 = 380,691/x
  3. Step 3: Cross multiply
    173,721x = 380,691 × 380,691
  4. Step 4: Simplify right side
    173,721x = 144,925,637,481
  5. Step 5: Solve for x
    x = 144,925,637,481/173,721
  6. Step 6: Final answer
    x = 834,243.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.