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Finding the Third Proportional to 206,148 and 437,568

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Solution

The third proportional to 206,148 and 437,568 is: 928,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,148 : 437,568 = 437,568 : x
  2. Step 2: Convert to fraction form
    206,148/437,568 = 437,568/x
  3. Step 3: Cross multiply
    206,148x = 437,568 × 437,568
  4. Step 4: Simplify right side
    206,148x = 191,465,754,624
  5. Step 5: Solve for x
    x = 191,465,754,624/206,148
  6. Step 6: Final answer
    x = 928,778.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.