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Finding the Third Proportional to 117,029.25 and 176,592.38

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Solution

The third proportional to 117,029.25 and 176,592.38 is: 266,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,029.25 : 176,592.38 = 176,592.38 : x
  2. Step 2: Convert to fraction form
    117,029.25/176,592.38 = 176,592.38/x
  3. Step 3: Cross multiply
    117,029.25x = 176,592.38 × 176,592.38
  4. Step 4: Simplify right side
    117,029.25x = 31,184,866,908.14
  5. Step 5: Solve for x
    x = 31,184,866,908.14/117,029.25
  6. Step 6: Final answer
    x = 266,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.