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Finding the Third Proportional to 115,746 and 251,180

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Solution

The third proportional to 115,746 and 251,180 is: 545,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,746 : 251,180 = 251,180 : x
  2. Step 2: Convert to fraction form
    115,746/251,180 = 251,180/x
  3. Step 3: Cross multiply
    115,746x = 251,180 × 251,180
  4. Step 4: Simplify right side
    115,746x = 63,091,392,400
  5. Step 5: Solve for x
    x = 63,091,392,400/115,746
  6. Step 6: Final answer
    x = 545,084.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.