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Finding the Third Proportional to 182,700 and 398,514

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Solution

The third proportional to 182,700 and 398,514 is: 869,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,700 : 398,514 = 398,514 : x
  2. Step 2: Convert to fraction form
    182,700/398,514 = 398,514/x
  3. Step 3: Cross multiply
    182,700x = 398,514 × 398,514
  4. Step 4: Simplify right side
    182,700x = 158,813,408,196
  5. Step 5: Solve for x
    x = 158,813,408,196/182,700
  6. Step 6: Final answer
    x = 869,257.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.