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Finding the Third Proportional to 143,671 and 216,600

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Solution

The third proportional to 143,671 and 216,600 is: 326,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,671 : 216,600 = 216,600 : x
  2. Step 2: Convert to fraction form
    143,671/216,600 = 216,600/x
  3. Step 3: Cross multiply
    143,671x = 216,600 × 216,600
  4. Step 4: Simplify right side
    143,671x = 46,915,560,000
  5. Step 5: Solve for x
    x = 46,915,560,000/143,671
  6. Step 6: Final answer
    x = 326,548.57

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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.