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Finding the Third Proportional to 143,090 and 310,782

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Solution

The third proportional to 143,090 and 310,782 is: 674,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,090 : 310,782 = 310,782 : x
  2. Step 2: Convert to fraction form
    143,090/310,782 = 310,782/x
  3. Step 3: Cross multiply
    143,090x = 310,782 × 310,782
  4. Step 4: Simplify right side
    143,090x = 96,585,451,524
  5. Step 5: Solve for x
    x = 96,585,451,524/143,090
  6. Step 6: Final answer
    x = 674,997.91

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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.