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Finding the Third Proportional to 176,141.25 and 251,803.13

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Solution

The third proportional to 176,141.25 and 251,803.13 is: 359,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,141.25 : 251,803.13 = 251,803.13 : x
  2. Step 2: Convert to fraction form
    176,141.25/251,803.13 = 251,803.13/x
  3. Step 3: Cross multiply
    176,141.25x = 251,803.13 × 251,803.13
  4. Step 4: Simplify right side
    176,141.25x = 63,404,813,759.77
  5. Step 5: Solve for x
    x = 63,404,813,759.77/176,141.25
  6. Step 6: Final answer
    x = 359,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.