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Finding the Third Proportional to 221,712 and 332,229

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Solution

The third proportional to 221,712 and 332,229 is: 497,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712 : 332,229 = 332,229 : x
  2. Step 2: Convert to fraction form
    221,712/332,229 = 332,229/x
  3. Step 3: Cross multiply
    221,712x = 332,229 × 332,229
  4. Step 4: Simplify right side
    221,712x = 110,376,108,441
  5. Step 5: Solve for x
    x = 110,376,108,441/221,712
  6. Step 6: Final answer
    x = 497,835.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.