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Finding the Third Proportional to 179,739 and 284,017.50

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Solution

The third proportional to 179,739 and 284,017.50 is: 448,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,739 : 284,017.50 = 284,017.50 : x
  2. Step 2: Convert to fraction form
    179,739/284,017.50 = 284,017.50/x
  3. Step 3: Cross multiply
    179,739x = 284,017.50 × 284,017.50
  4. Step 4: Simplify right side
    179,739x = 80,665,940,306.25
  5. Step 5: Solve for x
    x = 80,665,940,306.25/179,739
  6. Step 6: Final answer
    x = 448,794.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.