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Finding the Third Proportional to 152,967 and 246,261

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Solution

The third proportional to 152,967 and 246,261 is: 396,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,967 : 246,261 = 246,261 : x
  2. Step 2: Convert to fraction form
    152,967/246,261 = 246,261/x
  3. Step 3: Cross multiply
    152,967x = 246,261 × 246,261
  4. Step 4: Simplify right side
    152,967x = 60,644,480,121
  5. Step 5: Solve for x
    x = 60,644,480,121/152,967
  6. Step 6: Final answer
    x = 396,454.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.