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Finding the Third Proportional to 158,729 and 215,571

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Solution

The third proportional to 158,729 and 215,571 is: 292,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,729 : 215,571 = 215,571 : x
  2. Step 2: Convert to fraction form
    158,729/215,571 = 215,571/x
  3. Step 3: Cross multiply
    158,729x = 215,571 × 215,571
  4. Step 4: Simplify right side
    158,729x = 46,470,856,041
  5. Step 5: Solve for x
    x = 46,470,856,041/158,729
  6. Step 6: Final answer
    x = 292,768.53

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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.