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Finding the Third Proportional to 73,646 and 160,180

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Solution

The third proportional to 73,646 and 160,180 is: 348,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,646 : 160,180 = 160,180 : x
  2. Step 2: Convert to fraction form
    73,646/160,180 = 160,180/x
  3. Step 3: Cross multiply
    73,646x = 160,180 × 160,180
  4. Step 4: Simplify right side
    73,646x = 25,657,632,400
  5. Step 5: Solve for x
    x = 25,657,632,400/73,646
  6. Step 6: Final answer
    x = 348,391.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.