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Finding the Third Proportional to 121,517 and 261,660

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Solution

The third proportional to 121,517 and 261,660 is: 563,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,517 : 261,660 = 261,660 : x
  2. Step 2: Convert to fraction form
    121,517/261,660 = 261,660/x
  3. Step 3: Cross multiply
    121,517x = 261,660 × 261,660
  4. Step 4: Simplify right side
    121,517x = 68,465,955,600
  5. Step 5: Solve for x
    x = 68,465,955,600/121,517
  6. Step 6: Final answer
    x = 563,426.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.