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Finding the Third Proportional to 73,624 and 160,336

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Solution

The third proportional to 73,624 and 160,336 is: 349,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,624 : 160,336 = 160,336 : x
  2. Step 2: Convert to fraction form
    73,624/160,336 = 160,336/x
  3. Step 3: Cross multiply
    73,624x = 160,336 × 160,336
  4. Step 4: Simplify right side
    73,624x = 25,707,632,896
  5. Step 5: Solve for x
    x = 25,707,632,896/73,624
  6. Step 6: Final answer
    x = 349,174.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.