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Finding the Third Proportional to 158,733 and 246,294

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Solution

The third proportional to 158,733 and 246,294 is: 382,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,733 : 246,294 = 246,294 : x
  2. Step 2: Convert to fraction form
    158,733/246,294 = 246,294/x
  3. Step 3: Cross multiply
    158,733x = 246,294 × 246,294
  4. Step 4: Simplify right side
    158,733x = 60,660,734,436
  5. Step 5: Solve for x
    x = 60,660,734,436/158,733
  6. Step 6: Final answer
    x = 382,155.79

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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.