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Finding the Third Proportional to 219,385.97 and 337,062.09

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Solution

The third proportional to 219,385.97 and 337,062.09 is: 517,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,385.97 : 337,062.09 = 337,062.09 : x
  2. Step 2: Convert to fraction form
    219,385.97/337,062.09 = 337,062.09/x
  3. Step 3: Cross multiply
    219,385.97x = 337,062.09 × 337,062.09
  4. Step 4: Simplify right side
    219,385.97x = 113,610,855,043.13
  5. Step 5: Solve for x
    x = 113,610,855,043.13/219,385.97
  6. Step 6: Final answer
    x = 517,858.35

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