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Finding the Third Proportional to 226,114 and 332,427

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Solution

The third proportional to 226,114 and 332,427 is: 488,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,114 : 332,427 = 332,427 : x
  2. Step 2: Convert to fraction form
    226,114/332,427 = 332,427/x
  3. Step 3: Cross multiply
    226,114x = 332,427 × 332,427
  4. Step 4: Simplify right side
    226,114x = 110,507,710,329
  5. Step 5: Solve for x
    x = 110,507,710,329/226,114
  6. Step 6: Final answer
    x = 488,725.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.