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Finding the Third Proportional to 140,784 and 283,872

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Solution

The third proportional to 140,784 and 283,872 is: 572,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,784 : 283,872 = 283,872 : x
  2. Step 2: Convert to fraction form
    140,784/283,872 = 283,872/x
  3. Step 3: Cross multiply
    140,784x = 283,872 × 283,872
  4. Step 4: Simplify right side
    140,784x = 80,583,312,384
  5. Step 5: Solve for x
    x = 80,583,312,384/140,784
  6. Step 6: Final answer
    x = 572,389.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.