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Finding the Third Proportional to 70,648 and 150,908

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Solution

The third proportional to 70,648 and 150,908 is: 322,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648 : 150,908 = 150,908 : x
  2. Step 2: Convert to fraction form
    70,648/150,908 = 150,908/x
  3. Step 3: Cross multiply
    70,648x = 150,908 × 150,908
  4. Step 4: Simplify right side
    70,648x = 22,773,224,464
  5. Step 5: Solve for x
    x = 22,773,224,464/70,648
  6. Step 6: Final answer
    x = 322,347.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.