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Finding the Third Proportional to 251,873.58 and 532,176.33

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Solution

The third proportional to 251,873.58 and 532,176.33 is: 1,124,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,873.58 : 532,176.33 = 532,176.33 : x
  2. Step 2: Convert to fraction form
    251,873.58/532,176.33 = 532,176.33/x
  3. Step 3: Cross multiply
    251,873.58x = 532,176.33 × 532,176.33
  4. Step 4: Simplify right side
    251,873.58x = 283,211,644,216.61
  5. Step 5: Solve for x
    x = 283,211,644,216.61/251,873.58
  6. Step 6: Final answer
    x = 1,124,419.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.