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Finding the Third Proportional to 171,239.25 and 272,714

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Solution

The third proportional to 171,239.25 and 272,714 is: 434,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,239.25 : 272,714 = 272,714 : x
  2. Step 2: Convert to fraction form
    171,239.25/272,714 = 272,714/x
  3. Step 3: Cross multiply
    171,239.25x = 272,714 × 272,714
  4. Step 4: Simplify right side
    171,239.25x = 74,372,925,796
  5. Step 5: Solve for x
    x = 74,372,925,796/171,239.25
  6. Step 6: Final answer
    x = 434,321.72

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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.