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Finding the Third Proportional to 140,314 and 214,647

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Solution

The third proportional to 140,314 and 214,647 is: 328,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314 : 214,647 = 214,647 : x
  2. Step 2: Convert to fraction form
    140,314/214,647 = 214,647/x
  3. Step 3: Cross multiply
    140,314x = 214,647 × 214,647
  4. Step 4: Simplify right side
    140,314x = 46,073,334,609
  5. Step 5: Solve for x
    x = 46,073,334,609/140,314
  6. Step 6: Final answer
    x = 328,358.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.