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Finding the Third Proportional to 158,978 and 342,332

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Solution

The third proportional to 158,978 and 342,332 is: 737,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,978 : 342,332 = 342,332 : x
  2. Step 2: Convert to fraction form
    158,978/342,332 = 342,332/x
  3. Step 3: Cross multiply
    158,978x = 342,332 × 342,332
  4. Step 4: Simplify right side
    158,978x = 117,191,198,224
  5. Step 5: Solve for x
    x = 117,191,198,224/158,978
  6. Step 6: Final answer
    x = 737,153.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.