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Finding the Third Proportional to 137,893.13 and 216,676.13

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Solution

The third proportional to 137,893.13 and 216,676.13 is: 340,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.13 : 216,676.13 = 216,676.13 : x
  2. Step 2: Convert to fraction form
    137,893.13/216,676.13 = 216,676.13/x
  3. Step 3: Cross multiply
    137,893.13x = 216,676.13 × 216,676.13
  4. Step 4: Simplify right side
    137,893.13x = 46,948,543,145.02
  5. Step 5: Solve for x
    x = 46,948,543,145.02/137,893.13
  6. Step 6: Final answer
    x = 340,470.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.