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Finding the Third Proportional to 142,862 and 215,589

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Solution

The third proportional to 142,862 and 215,589 is: 325,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862 : 215,589 = 215,589 : x
  2. Step 2: Convert to fraction form
    142,862/215,589 = 215,589/x
  3. Step 3: Cross multiply
    142,862x = 215,589 × 215,589
  4. Step 4: Simplify right side
    142,862x = 46,478,616,921
  5. Step 5: Solve for x
    x = 46,478,616,921/142,862
  6. Step 6: Final answer
    x = 325,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.