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Finding the Third Proportional to 219,160.75 and 296,988.75

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Solution

The third proportional to 219,160.75 and 296,988.75 is: 402,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160.75 : 296,988.75 = 296,988.75 : x
  2. Step 2: Convert to fraction form
    219,160.75/296,988.75 = 296,988.75/x
  3. Step 3: Cross multiply
    219,160.75x = 296,988.75 × 296,988.75
  4. Step 4: Simplify right side
    219,160.75x = 88,202,317,626.56
  5. Step 5: Solve for x
    x = 88,202,317,626.56/219,160.75
  6. Step 6: Final answer
    x = 402,454.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.