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Finding the Third Proportional to 73,384 and 160,832

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Solution

The third proportional to 73,384 and 160,832 is: 352,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,384 : 160,832 = 160,832 : x
  2. Step 2: Convert to fraction form
    73,384/160,832 = 160,832/x
  3. Step 3: Cross multiply
    73,384x = 160,832 × 160,832
  4. Step 4: Simplify right side
    73,384x = 25,866,932,224
  5. Step 5: Solve for x
    x = 25,866,932,224/73,384
  6. Step 6: Final answer
    x = 352,487.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.