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Finding the Third Proportional to 158,756 and 215,608

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Solution

The third proportional to 158,756 and 215,608 is: 292,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,756 : 215,608 = 215,608 : x
  2. Step 2: Convert to fraction form
    158,756/215,608 = 215,608/x
  3. Step 3: Cross multiply
    158,756x = 215,608 × 215,608
  4. Step 4: Simplify right side
    158,756x = 46,486,809,664
  5. Step 5: Solve for x
    x = 46,486,809,664/158,756
  6. Step 6: Final answer
    x = 292,819.23

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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.