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Finding the Third Proportional to 177,714 and 281,354

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Solution

The third proportional to 177,714 and 281,354 is: 445,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,714 : 281,354 = 281,354 : x
  2. Step 2: Convert to fraction form
    177,714/281,354 = 281,354/x
  3. Step 3: Cross multiply
    177,714x = 281,354 × 281,354
  4. Step 4: Simplify right side
    177,714x = 79,160,073,316
  5. Step 5: Solve for x
    x = 79,160,073,316/177,714
  6. Step 6: Final answer
    x = 445,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.