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Finding the Third Proportional to 226,962 and 318,083.20

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Solution

The third proportional to 226,962 and 318,083.20 is: 445,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,962 : 318,083.20 = 318,083.20 : x
  2. Step 2: Convert to fraction form
    226,962/318,083.20 = 318,083.20/x
  3. Step 3: Cross multiply
    226,962x = 318,083.20 × 318,083.20
  4. Step 4: Simplify right side
    226,962x = 101,176,924,110.26
  5. Step 5: Solve for x
    x = 101,176,924,110.26/226,962
  6. Step 6: Final answer
    x = 445,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.