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Finding the Third Proportional to 158,500 and 246,216

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Solution

The third proportional to 158,500 and 246,216 is: 382,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,500 : 246,216 = 246,216 : x
  2. Step 2: Convert to fraction form
    158,500/246,216 = 246,216/x
  3. Step 3: Cross multiply
    158,500x = 246,216 × 246,216
  4. Step 4: Simplify right side
    158,500x = 60,622,318,656
  5. Step 5: Solve for x
    x = 60,622,318,656/158,500
  6. Step 6: Final answer
    x = 382,475.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.