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Finding the Third Proportional to 179,617 and 281,764.50

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Solution

The third proportional to 179,617 and 281,764.50 is: 442,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,617 : 281,764.50 = 281,764.50 : x
  2. Step 2: Convert to fraction form
    179,617/281,764.50 = 281,764.50/x
  3. Step 3: Cross multiply
    179,617x = 281,764.50 × 281,764.50
  4. Step 4: Simplify right side
    179,617x = 79,391,233,460.25
  5. Step 5: Solve for x
    x = 79,391,233,460.25/179,617
  6. Step 6: Final answer
    x = 442,002.89

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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.