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Finding the Third Proportional to 176,714 and 281,463

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Solution

The third proportional to 176,714 and 281,463 is: 448,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,714 : 281,463 = 281,463 : x
  2. Step 2: Convert to fraction form
    176,714/281,463 = 281,463/x
  3. Step 3: Cross multiply
    176,714x = 281,463 × 281,463
  4. Step 4: Simplify right side
    176,714x = 79,221,420,369
  5. Step 5: Solve for x
    x = 79,221,420,369/176,714
  6. Step 6: Final answer
    x = 448,303.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.