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Finding the Third Proportional to 182,691 and 286,659

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Solution

The third proportional to 182,691 and 286,659 is: 449,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,691 : 286,659 = 286,659 : x
  2. Step 2: Convert to fraction form
    182,691/286,659 = 286,659/x
  3. Step 3: Cross multiply
    182,691x = 286,659 × 286,659
  4. Step 4: Simplify right side
    182,691x = 82,173,382,281
  5. Step 5: Solve for x
    x = 82,173,382,281/182,691
  6. Step 6: Final answer
    x = 449,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.