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Finding the Third Proportional to 138,604 and 214,530

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Solution

The third proportional to 138,604 and 214,530 is: 332,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604 : 214,530 = 214,530 : x
  2. Step 2: Convert to fraction form
    138,604/214,530 = 214,530/x
  3. Step 3: Cross multiply
    138,604x = 214,530 × 214,530
  4. Step 4: Simplify right side
    138,604x = 46,023,120,900
  5. Step 5: Solve for x
    x = 46,023,120,900/138,604
  6. Step 6: Final answer
    x = 332,047.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.