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Finding the Third Proportional to 221,031 and 332,835.75

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Solution

The third proportional to 221,031 and 332,835.75 is: 501,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,031 : 332,835.75 = 332,835.75 : x
  2. Step 2: Convert to fraction form
    221,031/332,835.75 = 332,835.75/x
  3. Step 3: Cross multiply
    221,031x = 332,835.75 × 332,835.75
  4. Step 4: Simplify right side
    221,031x = 110,779,636,478.06
  5. Step 5: Solve for x
    x = 110,779,636,478.06/221,031
  6. Step 6: Final answer
    x = 501,195.02

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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.