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Finding the Third Proportional to 143,832 and 316,284

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Solution

The third proportional to 143,832 and 316,284 is: 695,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,832 : 316,284 = 316,284 : x
  2. Step 2: Convert to fraction form
    143,832/316,284 = 316,284/x
  3. Step 3: Cross multiply
    143,832x = 316,284 × 316,284
  4. Step 4: Simplify right side
    143,832x = 100,035,568,656
  5. Step 5: Solve for x
    x = 100,035,568,656/143,832
  6. Step 6: Final answer
    x = 695,502.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.