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Finding the Third Proportional to 143,350 and 215,002

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Solution

The third proportional to 143,350 and 215,002 is: 322,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,350 : 215,002 = 215,002 : x
  2. Step 2: Convert to fraction form
    143,350/215,002 = 215,002/x
  3. Step 3: Cross multiply
    143,350x = 215,002 × 215,002
  4. Step 4: Simplify right side
    143,350x = 46,225,860,004
  5. Step 5: Solve for x
    x = 46,225,860,004/143,350
  6. Step 6: Final answer
    x = 322,468.50

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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.