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Finding the Third Proportional to 101,342 and 215,806

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Solution

The third proportional to 101,342 and 215,806 is: 459,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342 : 215,806 = 215,806 : x
  2. Step 2: Convert to fraction form
    101,342/215,806 = 215,806/x
  3. Step 3: Cross multiply
    101,342x = 215,806 × 215,806
  4. Step 4: Simplify right side
    101,342x = 46,572,229,636
  5. Step 5: Solve for x
    x = 46,572,229,636/101,342
  6. Step 6: Final answer
    x = 459,555.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.