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Finding the Third Proportional to 74,305 and 160,274

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Solution

The third proportional to 74,305 and 160,274 is: 345,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,305 : 160,274 = 160,274 : x
  2. Step 2: Convert to fraction form
    74,305/160,274 = 160,274/x
  3. Step 3: Cross multiply
    74,305x = 160,274 × 160,274
  4. Step 4: Simplify right side
    74,305x = 25,687,755,076
  5. Step 5: Solve for x
    x = 25,687,755,076/74,305
  6. Step 6: Final answer
    x = 345,706.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.