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Finding the Third Proportional to 73,460 and 160,760

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Solution

The third proportional to 73,460 and 160,760 is: 351,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,460 : 160,760 = 160,760 : x
  2. Step 2: Convert to fraction form
    73,460/160,760 = 160,760/x
  3. Step 3: Cross multiply
    73,460x = 160,760 × 160,760
  4. Step 4: Simplify right side
    73,460x = 25,843,777,600
  5. Step 5: Solve for x
    x = 25,843,777,600/73,460
  6. Step 6: Final answer
    x = 351,807.48

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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.