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Finding the Third Proportional to 117,962 and 256,659

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Solution

The third proportional to 117,962 and 256,659 is: 558,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,962 : 256,659 = 256,659 : x
  2. Step 2: Convert to fraction form
    117,962/256,659 = 256,659/x
  3. Step 3: Cross multiply
    117,962x = 256,659 × 256,659
  4. Step 4: Simplify right side
    117,962x = 65,873,842,281
  5. Step 5: Solve for x
    x = 65,873,842,281/117,962
  6. Step 6: Final answer
    x = 558,432.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.