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Finding the Third Proportional to 144,910 and 315,568

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Solution

The third proportional to 144,910 and 315,568 is: 687,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910 : 315,568 = 315,568 : x
  2. Step 2: Convert to fraction form
    144,910/315,568 = 315,568/x
  3. Step 3: Cross multiply
    144,910x = 315,568 × 315,568
  4. Step 4: Simplify right side
    144,910x = 99,583,162,624
  5. Step 5: Solve for x
    x = 99,583,162,624/144,910
  6. Step 6: Final answer
    x = 687,206.97

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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.