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Finding the Third Proportional to 118,904.75 and 247,651

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Solution

The third proportional to 118,904.75 and 247,651 is: 515,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,904.75 : 247,651 = 247,651 : x
  2. Step 2: Convert to fraction form
    118,904.75/247,651 = 247,651/x
  3. Step 3: Cross multiply
    118,904.75x = 247,651 × 247,651
  4. Step 4: Simplify right side
    118,904.75x = 61,331,017,801
  5. Step 5: Solve for x
    x = 61,331,017,801/118,904.75
  6. Step 6: Final answer
    x = 515,799.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.