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Finding the Third Proportional to 177,822 and 250,101

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Solution

The third proportional to 177,822 and 250,101 is: 351,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,822 : 250,101 = 250,101 : x
  2. Step 2: Convert to fraction form
    177,822/250,101 = 250,101/x
  3. Step 3: Cross multiply
    177,822x = 250,101 × 250,101
  4. Step 4: Simplify right side
    177,822x = 62,550,510,201
  5. Step 5: Solve for x
    x = 62,550,510,201/177,822
  6. Step 6: Final answer
    x = 351,759.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.