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Finding the Third Proportional to 143,970 and 215,982

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Solution

The third proportional to 143,970 and 215,982 is: 324,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,970 : 215,982 = 215,982 : x
  2. Step 2: Convert to fraction form
    143,970/215,982 = 215,982/x
  3. Step 3: Cross multiply
    143,970x = 215,982 × 215,982
  4. Step 4: Simplify right side
    143,970x = 46,648,224,324
  5. Step 5: Solve for x
    x = 46,648,224,324/143,970
  6. Step 6: Final answer
    x = 324,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.