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Finding the Third Proportional to 218,567.58 and 337,195.25

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Solution

The third proportional to 218,567.58 and 337,195.25 is: 520,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,567.58 : 337,195.25 = 337,195.25 : x
  2. Step 2: Convert to fraction form
    218,567.58/337,195.25 = 337,195.25/x
  3. Step 3: Cross multiply
    218,567.58x = 337,195.25 × 337,195.25
  4. Step 4: Simplify right side
    218,567.58x = 113,700,635,305.40
  5. Step 5: Solve for x
    x = 113,700,635,305.40/218,567.58
  6. Step 6: Final answer
    x = 520,208.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.