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Finding the Third Proportional to 70,566 and 150,844

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Solution

The third proportional to 70,566 and 150,844 is: 322,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 150,844 = 150,844 : x
  2. Step 2: Convert to fraction form
    70,566/150,844 = 150,844/x
  3. Step 3: Cross multiply
    70,566x = 150,844 × 150,844
  4. Step 4: Simplify right side
    70,566x = 22,753,912,336
  5. Step 5: Solve for x
    x = 22,753,912,336/70,566
  6. Step 6: Final answer
    x = 322,448.66

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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.