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Finding the Third Proportional to 144,234 and 215,150

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Solution

The third proportional to 144,234 and 215,150 is: 320,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,234 : 215,150 = 215,150 : x
  2. Step 2: Convert to fraction form
    144,234/215,150 = 215,150/x
  3. Step 3: Cross multiply
    144,234x = 215,150 × 215,150
  4. Step 4: Simplify right side
    144,234x = 46,289,522,500
  5. Step 5: Solve for x
    x = 46,289,522,500/144,234
  6. Step 6: Final answer
    x = 320,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.