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Finding the Third Proportional to 226,924 and 317,992

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Solution

The third proportional to 226,924 and 317,992 is: 445,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,924 : 317,992 = 317,992 : x
  2. Step 2: Convert to fraction form
    226,924/317,992 = 317,992/x
  3. Step 3: Cross multiply
    226,924x = 317,992 × 317,992
  4. Step 4: Simplify right side
    226,924x = 101,118,912,064
  5. Step 5: Solve for x
    x = 101,118,912,064/226,924
  6. Step 6: Final answer
    x = 445,606.95

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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.