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Finding the Third Proportional to 117,031.20 and 251,823.23

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Solution

The third proportional to 117,031.20 and 251,823.23 is: 541,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031.20 : 251,823.23 = 251,823.23 : x
  2. Step 2: Convert to fraction form
    117,031.20/251,823.23 = 251,823.23/x
  3. Step 3: Cross multiply
    117,031.20x = 251,823.23 × 251,823.23
  4. Step 4: Simplify right side
    117,031.20x = 63,414,936,944.50
  5. Step 5: Solve for x
    x = 63,414,936,944.50/117,031.20
  6. Step 6: Final answer
    x = 541,863.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.