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Finding the Third Proportional to 185,960 and 280,688

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Solution

The third proportional to 185,960 and 280,688 is: 423,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,960 : 280,688 = 280,688 : x
  2. Step 2: Convert to fraction form
    185,960/280,688 = 280,688/x
  3. Step 3: Cross multiply
    185,960x = 280,688 × 280,688
  4. Step 4: Simplify right side
    185,960x = 78,785,753,344
  5. Step 5: Solve for x
    x = 78,785,753,344/185,960
  6. Step 6: Final answer
    x = 423,670.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.