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Finding the Third Proportional to 215,883 and 323,851.50

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Solution

The third proportional to 215,883 and 323,851.50 is: 485,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,883 : 323,851.50 = 323,851.50 : x
  2. Step 2: Convert to fraction form
    215,883/323,851.50 = 323,851.50/x
  3. Step 3: Cross multiply
    215,883x = 323,851.50 × 323,851.50
  4. Step 4: Simplify right side
    215,883x = 104,879,794,052.25
  5. Step 5: Solve for x
    x = 104,879,794,052.25/215,883
  6. Step 6: Final answer
    x = 485,817.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.