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Finding the Third Proportional to 209,188 and 332,432

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Solution

The third proportional to 209,188 and 332,432 is: 528,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,188 : 332,432 = 332,432 : x
  2. Step 2: Convert to fraction form
    209,188/332,432 = 332,432/x
  3. Step 3: Cross multiply
    209,188x = 332,432 × 332,432
  4. Step 4: Simplify right side
    209,188x = 110,511,034,624
  5. Step 5: Solve for x
    x = 110,511,034,624/209,188
  6. Step 6: Final answer
    x = 528,285.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.