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Finding the Third Proportional to 73,350 and 160,190

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Solution

The third proportional to 73,350 and 160,190 is: 349,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,350 : 160,190 = 160,190 : x
  2. Step 2: Convert to fraction form
    73,350/160,190 = 160,190/x
  3. Step 3: Cross multiply
    73,350x = 160,190 × 160,190
  4. Step 4: Simplify right side
    73,350x = 25,660,836,100
  5. Step 5: Solve for x
    x = 25,660,836,100/73,350
  6. Step 6: Final answer
    x = 349,840.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.