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Finding the Third Proportional to 168,127 and 260,317

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Solution

The third proportional to 168,127 and 260,317 is: 403,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,127 : 260,317 = 260,317 : x
  2. Step 2: Convert to fraction form
    168,127/260,317 = 260,317/x
  3. Step 3: Cross multiply
    168,127x = 260,317 × 260,317
  4. Step 4: Simplify right side
    168,127x = 67,764,940,489
  5. Step 5: Solve for x
    x = 67,764,940,489/168,127
  6. Step 6: Final answer
    x = 403,058.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.