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Finding the Third Proportional to 185,680 and 282,872

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Solution

The third proportional to 185,680 and 282,872 is: 430,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,680 : 282,872 = 282,872 : x
  2. Step 2: Convert to fraction form
    185,680/282,872 = 282,872/x
  3. Step 3: Cross multiply
    185,680x = 282,872 × 282,872
  4. Step 4: Simplify right side
    185,680x = 80,016,568,384
  5. Step 5: Solve for x
    x = 80,016,568,384/185,680
  6. Step 6: Final answer
    x = 430,938.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.