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Finding the Third Proportional to 70,230 and 151,698

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Solution

The third proportional to 70,230 and 151,698 is: 327,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,230 : 151,698 = 151,698 : x
  2. Step 2: Convert to fraction form
    70,230/151,698 = 151,698/x
  3. Step 3: Cross multiply
    70,230x = 151,698 × 151,698
  4. Step 4: Simplify right side
    70,230x = 23,012,283,204
  5. Step 5: Solve for x
    x = 23,012,283,204/70,230
  6. Step 6: Final answer
    x = 327,670.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.