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Finding the Third Proportional to 179,499 and 281,605

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Solution

The third proportional to 179,499 and 281,605 is: 441,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,499 : 281,605 = 281,605 : x
  2. Step 2: Convert to fraction form
    179,499/281,605 = 281,605/x
  3. Step 3: Cross multiply
    179,499x = 281,605 × 281,605
  4. Step 4: Simplify right side
    179,499x = 79,301,376,025
  5. Step 5: Solve for x
    x = 79,301,376,025/179,499
  6. Step 6: Final answer
    x = 441,792.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.