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Finding the Third Proportional to 179,594 and 281,730

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Solution

The third proportional to 179,594 and 281,730 is: 441,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,594 : 281,730 = 281,730 : x
  2. Step 2: Convert to fraction form
    179,594/281,730 = 281,730/x
  3. Step 3: Cross multiply
    179,594x = 281,730 × 281,730
  4. Step 4: Simplify right side
    179,594x = 79,371,792,900
  5. Step 5: Solve for x
    x = 79,371,792,900/179,594
  6. Step 6: Final answer
    x = 441,951.25

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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.