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Finding the Third Proportional to 172,046 and 261,714

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Solution

The third proportional to 172,046 and 261,714 is: 398,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046 : 261,714 = 261,714 : x
  2. Step 2: Convert to fraction form
    172,046/261,714 = 261,714/x
  3. Step 3: Cross multiply
    172,046x = 261,714 × 261,714
  4. Step 4: Simplify right side
    172,046x = 68,494,217,796
  5. Step 5: Solve for x
    x = 68,494,217,796/172,046
  6. Step 6: Final answer
    x = 398,115.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.