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Finding the Third Proportional to 116,552.25 and 176,976.38

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Solution

The third proportional to 116,552.25 and 176,976.38 is: 268,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,552.25 : 176,976.38 = 176,976.38 : x
  2. Step 2: Convert to fraction form
    116,552.25/176,976.38 = 176,976.38/x
  3. Step 3: Cross multiply
    116,552.25x = 176,976.38 × 176,976.38
  4. Step 4: Simplify right side
    116,552.25x = 31,320,637,308.14
  5. Step 5: Solve for x
    x = 31,320,637,308.14/116,552.25
  6. Step 6: Final answer
    x = 268,726.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.