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Finding the Third Proportional to 116,625.13 and 245,701.38

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Solution

The third proportional to 116,625.13 and 245,701.38 is: 517,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,625.13 : 245,701.38 = 245,701.38 : x
  2. Step 2: Convert to fraction form
    116,625.13/245,701.38 = 245,701.38/x
  3. Step 3: Cross multiply
    116,625.13x = 245,701.38 × 245,701.38
  4. Step 4: Simplify right side
    116,625.13x = 60,369,165,676.89
  5. Step 5: Solve for x
    x = 60,369,165,676.89/116,625.13
  6. Step 6: Final answer
    x = 517,634.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.