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Finding the Third Proportional to 220,956.75 and 337,854

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Solution

The third proportional to 220,956.75 and 337,854 is: 516,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,956.75 : 337,854 = 337,854 : x
  2. Step 2: Convert to fraction form
    220,956.75/337,854 = 337,854/x
  3. Step 3: Cross multiply
    220,956.75x = 337,854 × 337,854
  4. Step 4: Simplify right side
    220,956.75x = 114,145,325,316
  5. Step 5: Solve for x
    x = 114,145,325,316/220,956.75
  6. Step 6: Final answer
    x = 516,595.78

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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.