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Finding the Third Proportional to 98,586 and 206,586

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Solution

The third proportional to 98,586 and 206,586 is: 432,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586 : 206,586 = 206,586 : x
  2. Step 2: Convert to fraction form
    98,586/206,586 = 206,586/x
  3. Step 3: Cross multiply
    98,586x = 206,586 × 206,586
  4. Step 4: Simplify right side
    98,586x = 42,677,775,396
  5. Step 5: Solve for x
    x = 42,677,775,396/98,586
  6. Step 6: Final answer
    x = 432,898.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.