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Finding the Third Proportional to 177,820 and 250,098

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Solution

The third proportional to 177,820 and 250,098 is: 351,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820 : 250,098 = 250,098 : x
  2. Step 2: Convert to fraction form
    177,820/250,098 = 250,098/x
  3. Step 3: Cross multiply
    177,820x = 250,098 × 250,098
  4. Step 4: Simplify right side
    177,820x = 62,549,009,604
  5. Step 5: Solve for x
    x = 62,549,009,604/177,820
  6. Step 6: Final answer
    x = 351,754.64

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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.