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Finding the Third Proportional to 226,026 and 332,127

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Solution

The third proportional to 226,026 and 332,127 is: 488,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,026 : 332,127 = 332,127 : x
  2. Step 2: Convert to fraction form
    226,026/332,127 = 332,127/x
  3. Step 3: Cross multiply
    226,026x = 332,127 × 332,127
  4. Step 4: Simplify right side
    226,026x = 110,308,344,129
  5. Step 5: Solve for x
    x = 110,308,344,129/226,026
  6. Step 6: Final answer
    x = 488,033.87

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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.