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Finding the Third Proportional to 185,782 and 284,671

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Solution

The third proportional to 185,782 and 284,671 is: 436,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,782 : 284,671 = 284,671 : x
  2. Step 2: Convert to fraction form
    185,782/284,671 = 284,671/x
  3. Step 3: Cross multiply
    185,782x = 284,671 × 284,671
  4. Step 4: Simplify right side
    185,782x = 81,037,578,241
  5. Step 5: Solve for x
    x = 81,037,578,241/185,782
  6. Step 6: Final answer
    x = 436,197.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.