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Finding the Third Proportional to 116,248.88 and 179,649

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Solution

The third proportional to 116,248.88 and 179,649 is: 277,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,248.88 : 179,649 = 179,649 : x
  2. Step 2: Convert to fraction form
    116,248.88/179,649 = 179,649/x
  3. Step 3: Cross multiply
    116,248.88x = 179,649 × 179,649
  4. Step 4: Simplify right side
    116,248.88x = 32,273,763,201
  5. Step 5: Solve for x
    x = 32,273,763,201/116,248.88
  6. Step 6: Final answer
    x = 277,626.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.