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Finding the Third Proportional to 206,442 and 315,585

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Solution

The third proportional to 206,442 and 315,585 is: 482,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442 : 315,585 = 315,585 : x
  2. Step 2: Convert to fraction form
    206,442/315,585 = 315,585/x
  3. Step 3: Cross multiply
    206,442x = 315,585 × 315,585
  4. Step 4: Simplify right side
    206,442x = 99,593,892,225
  5. Step 5: Solve for x
    x = 99,593,892,225/206,442
  6. Step 6: Final answer
    x = 482,430.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.