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Finding the Third Proportional to 158,496 and 246,208

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Solution

The third proportional to 158,496 and 246,208 is: 382,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,496 : 246,208 = 246,208 : x
  2. Step 2: Convert to fraction form
    158,496/246,208 = 246,208/x
  3. Step 3: Cross multiply
    158,496x = 246,208 × 246,208
  4. Step 4: Simplify right side
    158,496x = 60,618,379,264
  5. Step 5: Solve for x
    x = 60,618,379,264/158,496
  6. Step 6: Final answer
    x = 382,459.99

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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.