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Finding the Third Proportional to 226,058 and 332,159

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Solution

The third proportional to 226,058 and 332,159 is: 488,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,058 : 332,159 = 332,159 : x
  2. Step 2: Convert to fraction form
    226,058/332,159 = 332,159/x
  3. Step 3: Cross multiply
    226,058x = 332,159 × 332,159
  4. Step 4: Simplify right side
    226,058x = 110,329,601,281
  5. Step 5: Solve for x
    x = 110,329,601,281/226,058
  6. Step 6: Final answer
    x = 488,058.82

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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.