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Finding the Third Proportional to 70,204 and 151,648

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Solution

The third proportional to 70,204 and 151,648 is: 327,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,204 : 151,648 = 151,648 : x
  2. Step 2: Convert to fraction form
    70,204/151,648 = 151,648/x
  3. Step 3: Cross multiply
    70,204x = 151,648 × 151,648
  4. Step 4: Simplify right side
    70,204x = 22,997,115,904
  5. Step 5: Solve for x
    x = 22,997,115,904/70,204
  6. Step 6: Final answer
    x = 327,575.58

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Why These Related Problems?

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