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Finding the Third Proportional to 173,275.13 and 216,901.13

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Solution

The third proportional to 173,275.13 and 216,901.13 is: 271,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,275.13 : 216,901.13 = 216,901.13 : x
  2. Step 2: Convert to fraction form
    173,275.13/216,901.13 = 216,901.13/x
  3. Step 3: Cross multiply
    173,275.13x = 216,901.13 × 216,901.13
  4. Step 4: Simplify right side
    173,275.13x = 47,046,098,026.27
  5. Step 5: Solve for x
    x = 47,046,098,026.27/173,275.13
  6. Step 6: Final answer
    x = 271,510.97

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.