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Finding the Third Proportional to 177,612 and 250,144

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Solution

The third proportional to 177,612 and 250,144 is: 352,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,612 : 250,144 = 250,144 : x
  2. Step 2: Convert to fraction form
    177,612/250,144 = 250,144/x
  3. Step 3: Cross multiply
    177,612x = 250,144 × 250,144
  4. Step 4: Simplify right side
    177,612x = 62,572,020,736
  5. Step 5: Solve for x
    x = 62,572,020,736/177,612
  6. Step 6: Final answer
    x = 352,296.13

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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.