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Finding the Third Proportional to 221,016.57 and 337,867.29

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Solution

The third proportional to 221,016.57 and 337,867.29 is: 516,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,016.57 : 337,867.29 = 337,867.29 : x
  2. Step 2: Convert to fraction form
    221,016.57/337,867.29 = 337,867.29/x
  3. Step 3: Cross multiply
    221,016.57x = 337,867.29 × 337,867.29
  4. Step 4: Simplify right side
    221,016.57x = 114,154,308,977.83
  5. Step 5: Solve for x
    x = 114,154,308,977.83/221,016.57
  6. Step 6: Final answer
    x = 516,496.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.