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Finding the Third Proportional to 182,680 and 286,640

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Solution

The third proportional to 182,680 and 286,640 is: 449,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,680 : 286,640 = 286,640 : x
  2. Step 2: Convert to fraction form
    182,680/286,640 = 286,640/x
  3. Step 3: Cross multiply
    182,680x = 286,640 × 286,640
  4. Step 4: Simplify right side
    182,680x = 82,162,489,600
  5. Step 5: Solve for x
    x = 82,162,489,600/182,680
  6. Step 6: Final answer
    x = 449,761.82

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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.