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Finding the Third Proportional to 147,960 and 231,856.50

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Solution

The third proportional to 147,960 and 231,856.50 is: 363,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,960 : 231,856.50 = 231,856.50 : x
  2. Step 2: Convert to fraction form
    147,960/231,856.50 = 231,856.50/x
  3. Step 3: Cross multiply
    147,960x = 231,856.50 × 231,856.50
  4. Step 4: Simplify right side
    147,960x = 53,757,436,592.25
  5. Step 5: Solve for x
    x = 53,757,436,592.25/147,960
  6. Step 6: Final answer
    x = 363,324.12

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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.