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Finding the Third Proportional to 225,026 and 332,612

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Solution

The third proportional to 225,026 and 332,612 is: 491,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,026 : 332,612 = 332,612 : x
  2. Step 2: Convert to fraction form
    225,026/332,612 = 332,612/x
  3. Step 3: Cross multiply
    225,026x = 332,612 × 332,612
  4. Step 4: Simplify right side
    225,026x = 110,630,742,544
  5. Step 5: Solve for x
    x = 110,630,742,544/225,026
  6. Step 6: Final answer
    x = 491,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.