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Finding the Third Proportional to 102,471 and 220,251.50

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Solution

The third proportional to 102,471 and 220,251.50 is: 473,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,471 : 220,251.50 = 220,251.50 : x
  2. Step 2: Convert to fraction form
    102,471/220,251.50 = 220,251.50/x
  3. Step 3: Cross multiply
    102,471x = 220,251.50 × 220,251.50
  4. Step 4: Simplify right side
    102,471x = 48,510,723,252.25
  5. Step 5: Solve for x
    x = 48,510,723,252.25/102,471
  6. Step 6: Final answer
    x = 473,409.29

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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.