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Finding the Third Proportional to 221,026.22 and 332,829

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Solution

The third proportional to 221,026.22 and 332,829 is: 501,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,026.22 : 332,829 = 332,829 : x
  2. Step 2: Convert to fraction form
    221,026.22/332,829 = 332,829/x
  3. Step 3: Cross multiply
    221,026.22x = 332,829 × 332,829
  4. Step 4: Simplify right side
    221,026.22x = 110,775,143,241
  5. Step 5: Solve for x
    x = 110,775,143,241/221,026.22
  6. Step 6: Final answer
    x = 501,185.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.