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Finding the Third Proportional to 185,514 and 284,269

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Solution

The third proportional to 185,514 and 284,269 is: 435,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,514 : 284,269 = 284,269 : x
  2. Step 2: Convert to fraction form
    185,514/284,269 = 284,269/x
  3. Step 3: Cross multiply
    185,514x = 284,269 × 284,269
  4. Step 4: Simplify right side
    185,514x = 80,808,864,361
  5. Step 5: Solve for x
    x = 80,808,864,361/185,514
  6. Step 6: Final answer
    x = 435,594.43

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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.