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Finding the Third Proportional to 70,697 and 152,230

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Solution

The third proportional to 70,697 and 152,230 is: 327,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697 : 152,230 = 152,230 : x
  2. Step 2: Convert to fraction form
    70,697/152,230 = 152,230/x
  3. Step 3: Cross multiply
    70,697x = 152,230 × 152,230
  4. Step 4: Simplify right side
    70,697x = 23,173,972,900
  5. Step 5: Solve for x
    x = 23,173,972,900/70,697
  6. Step 6: Final answer
    x = 327,792.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.