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Finding the Third Proportional to 179,483 and 391,566

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Solution

The third proportional to 179,483 and 391,566 is: 854,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,483 : 391,566 = 391,566 : x
  2. Step 2: Convert to fraction form
    179,483/391,566 = 391,566/x
  3. Step 3: Cross multiply
    179,483x = 391,566 × 391,566
  4. Step 4: Simplify right side
    179,483x = 153,323,932,356
  5. Step 5: Solve for x
    x = 153,323,932,356/179,483
  6. Step 6: Final answer
    x = 854,253.23

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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.