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Finding the Third Proportional to 117,600 and 256,350

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Solution

The third proportional to 117,600 and 256,350 is: 558,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600 : 256,350 = 256,350 : x
  2. Step 2: Convert to fraction form
    117,600/256,350 = 256,350/x
  3. Step 3: Cross multiply
    117,600x = 256,350 × 256,350
  4. Step 4: Simplify right side
    117,600x = 65,715,322,500
  5. Step 5: Solve for x
    x = 65,715,322,500/117,600
  6. Step 6: Final answer
    x = 558,803.76

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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.