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Finding the Third Proportional to 251,883.75 and 532,195.50

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Solution

The third proportional to 251,883.75 and 532,195.50 is: 1,124,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,883.75 : 532,195.50 = 532,195.50 : x
  2. Step 2: Convert to fraction form
    251,883.75/532,195.50 = 532,195.50/x
  3. Step 3: Cross multiply
    251,883.75x = 532,195.50 × 532,195.50
  4. Step 4: Simplify right side
    251,883.75x = 283,232,050,220.25
  5. Step 5: Solve for x
    x = 283,232,050,220.25/251,883.75
  6. Step 6: Final answer
    x = 1,124,455.43

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