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Finding the Third Proportional to 160,422 and 348,165

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Solution

The third proportional to 160,422 and 348,165 is: 755,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,422 : 348,165 = 348,165 : x
  2. Step 2: Convert to fraction form
    160,422/348,165 = 348,165/x
  3. Step 3: Cross multiply
    160,422x = 348,165 × 348,165
  4. Step 4: Simplify right side
    160,422x = 121,218,867,225
  5. Step 5: Solve for x
    x = 121,218,867,225/160,422
  6. Step 6: Final answer
    x = 755,624.96

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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.