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Finding the Third Proportional to 155,996 and 241,344

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Solution

The third proportional to 155,996 and 241,344 is: 373,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,996 : 241,344 = 241,344 : x
  2. Step 2: Convert to fraction form
    155,996/241,344 = 241,344/x
  3. Step 3: Cross multiply
    155,996x = 241,344 × 241,344
  4. Step 4: Simplify right side
    155,996x = 58,246,926,336
  5. Step 5: Solve for x
    x = 58,246,926,336/155,996
  6. Step 6: Final answer
    x = 373,387.31

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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.