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Finding the Third Proportional to 158,123 and 246,257

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Solution

The third proportional to 158,123 and 246,257 is: 383,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,123 : 246,257 = 246,257 : x
  2. Step 2: Convert to fraction form
    158,123/246,257 = 246,257/x
  3. Step 3: Cross multiply
    158,123x = 246,257 × 246,257
  4. Step 4: Simplify right side
    158,123x = 60,642,510,049
  5. Step 5: Solve for x
    x = 60,642,510,049/158,123
  6. Step 6: Final answer
    x = 383,514.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.