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Finding the Third Proportional to 209,820 and 332,750

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Solution

The third proportional to 209,820 and 332,750 is: 527,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820 : 332,750 = 332,750 : x
  2. Step 2: Convert to fraction form
    209,820/332,750 = 332,750/x
  3. Step 3: Cross multiply
    209,820x = 332,750 × 332,750
  4. Step 4: Simplify right side
    209,820x = 110,722,562,500
  5. Step 5: Solve for x
    x = 110,722,562,500/209,820
  6. Step 6: Final answer
    x = 527,702.61

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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.