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Finding the Third Proportional to 175,469 and 250,081

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Solution

The third proportional to 175,469 and 250,081 is: 356,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,469 : 250,081 = 250,081 : x
  2. Step 2: Convert to fraction form
    175,469/250,081 = 250,081/x
  3. Step 3: Cross multiply
    175,469x = 250,081 × 250,081
  4. Step 4: Simplify right side
    175,469x = 62,540,506,561
  5. Step 5: Solve for x
    x = 62,540,506,561/175,469
  6. Step 6: Final answer
    x = 356,419.12

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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.