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Finding the Third Proportional to 177,744 and 250,020

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Solution

The third proportional to 177,744 and 250,020 is: 351,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,744 : 250,020 = 250,020 : x
  2. Step 2: Convert to fraction form
    177,744/250,020 = 250,020/x
  3. Step 3: Cross multiply
    177,744x = 250,020 × 250,020
  4. Step 4: Simplify right side
    177,744x = 62,510,000,400
  5. Step 5: Solve for x
    x = 62,510,000,400/177,744
  6. Step 6: Final answer
    x = 351,685.57

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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.