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Finding the Third Proportional to 157,832 and 245,314

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Solution

The third proportional to 157,832 and 245,314 is: 381,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832 : 245,314 = 245,314 : x
  2. Step 2: Convert to fraction form
    157,832/245,314 = 245,314/x
  3. Step 3: Cross multiply
    157,832x = 245,314 × 245,314
  4. Step 4: Simplify right side
    157,832x = 60,178,958,596
  5. Step 5: Solve for x
    x = 60,178,958,596/157,832
  6. Step 6: Final answer
    x = 381,284.90

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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.