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Finding the Third Proportional to 73,305 and 160,677

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Solution

The third proportional to 73,305 and 160,677 is: 352,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,305 : 160,677 = 160,677 : x
  2. Step 2: Convert to fraction form
    73,305/160,677 = 160,677/x
  3. Step 3: Cross multiply
    73,305x = 160,677 × 160,677
  4. Step 4: Simplify right side
    73,305x = 25,817,098,329
  5. Step 5: Solve for x
    x = 25,817,098,329/73,305
  6. Step 6: Final answer
    x = 352,187.41

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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.