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Finding the Third Proportional to 166,492 and 270,499

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Solution

The third proportional to 166,492 and 270,499 is: 439,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492 : 270,499 = 270,499 : x
  2. Step 2: Convert to fraction form
    166,492/270,499 = 270,499/x
  3. Step 3: Cross multiply
    166,492x = 270,499 × 270,499
  4. Step 4: Simplify right side
    166,492x = 73,169,709,001
  5. Step 5: Solve for x
    x = 73,169,709,001/166,492
  6. Step 6: Final answer
    x = 439,478.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.