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Finding the Third Proportional to 103,908 and 226,560

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Solution

The third proportional to 103,908 and 226,560 is: 493,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,908 : 226,560 = 226,560 : x
  2. Step 2: Convert to fraction form
    103,908/226,560 = 226,560/x
  3. Step 3: Cross multiply
    103,908x = 226,560 × 226,560
  4. Step 4: Simplify right side
    103,908x = 51,329,433,600
  5. Step 5: Solve for x
    x = 51,329,433,600/103,908
  6. Step 6: Final answer
    x = 493,989.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.