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Finding the Third Proportional to 213,923 and 332,585

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Solution

The third proportional to 213,923 and 332,585 is: 517,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,923 : 332,585 = 332,585 : x
  2. Step 2: Convert to fraction form
    213,923/332,585 = 332,585/x
  3. Step 3: Cross multiply
    213,923x = 332,585 × 332,585
  4. Step 4: Simplify right side
    213,923x = 110,612,782,225
  5. Step 5: Solve for x
    x = 110,612,782,225/213,923
  6. Step 6: Final answer
    x = 517,068.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.