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Finding the Third Proportional to 223,821 and 337,891.50

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Solution

The third proportional to 223,821 and 337,891.50 is: 510,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821 : 337,891.50 = 337,891.50 : x
  2. Step 2: Convert to fraction form
    223,821/337,891.50 = 337,891.50/x
  3. Step 3: Cross multiply
    223,821x = 337,891.50 × 337,891.50
  4. Step 4: Simplify right side
    223,821x = 114,170,665,772.25
  5. Step 5: Solve for x
    x = 114,170,665,772.25/223,821
  6. Step 6: Final answer
    x = 510,098.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.