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Finding the Third Proportional to 159,910 and 348,008

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Solution

The third proportional to 159,910 and 348,008 is: 757,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,910 : 348,008 = 348,008 : x
  2. Step 2: Convert to fraction form
    159,910/348,008 = 348,008/x
  3. Step 3: Cross multiply
    159,910x = 348,008 × 348,008
  4. Step 4: Simplify right side
    159,910x = 121,109,568,064
  5. Step 5: Solve for x
    x = 121,109,568,064/159,910
  6. Step 6: Final answer
    x = 757,360.82

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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.