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Finding the Third Proportional to 160,981 and 236,532

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Solution

The third proportional to 160,981 and 236,532 is: 347,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,981 : 236,532 = 236,532 : x
  2. Step 2: Convert to fraction form
    160,981/236,532 = 236,532/x
  3. Step 3: Cross multiply
    160,981x = 236,532 × 236,532
  4. Step 4: Simplify right side
    160,981x = 55,947,387,024
  5. Step 5: Solve for x
    x = 55,947,387,024/160,981
  6. Step 6: Final answer
    x = 347,540.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.