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Finding the Third Proportional to 117,544 and 255,600

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Solution

The third proportional to 117,544 and 255,600 is: 555,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,544 : 255,600 = 255,600 : x
  2. Step 2: Convert to fraction form
    117,544/255,600 = 255,600/x
  3. Step 3: Cross multiply
    117,544x = 255,600 × 255,600
  4. Step 4: Simplify right side
    117,544x = 65,331,360,000
  5. Step 5: Solve for x
    x = 65,331,360,000/117,544
  6. Step 6: Final answer
    x = 555,803.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.