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Finding the Third Proportional to 158,766.75 and 343,129.50

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Solution

The third proportional to 158,766.75 and 343,129.50 is: 741,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,766.75 : 343,129.50 = 343,129.50 : x
  2. Step 2: Convert to fraction form
    158,766.75/343,129.50 = 343,129.50/x
  3. Step 3: Cross multiply
    158,766.75x = 343,129.50 × 343,129.50
  4. Step 4: Simplify right side
    158,766.75x = 117,737,853,770.25
  5. Step 5: Solve for x
    x = 117,737,853,770.25/158,766.75
  6. Step 6: Final answer
    x = 741,577.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.