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Finding the Third Proportional to 144,568 and 306,632

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Solution

The third proportional to 144,568 and 306,632 is: 650,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,568 : 306,632 = 306,632 : x
  2. Step 2: Convert to fraction form
    144,568/306,632 = 306,632/x
  3. Step 3: Cross multiply
    144,568x = 306,632 × 306,632
  4. Step 4: Simplify right side
    144,568x = 94,023,183,424
  5. Step 5: Solve for x
    x = 94,023,183,424/144,568
  6. Step 6: Final answer
    x = 650,373.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.