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Finding the Third Proportional to 231,179 and 362,742

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Solution

The third proportional to 231,179 and 362,742 is: 569,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,179 : 362,742 = 362,742 : x
  2. Step 2: Convert to fraction form
    231,179/362,742 = 362,742/x
  3. Step 3: Cross multiply
    231,179x = 362,742 × 362,742
  4. Step 4: Simplify right side
    231,179x = 131,581,758,564
  5. Step 5: Solve for x
    x = 131,581,758,564/231,179
  6. Step 6: Final answer
    x = 569,176.95

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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.