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Finding the Third Proportional to 143,858 and 316,269

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Solution

The third proportional to 143,858 and 316,269 is: 695,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,858 : 316,269 = 316,269 : x
  2. Step 2: Convert to fraction form
    143,858/316,269 = 316,269/x
  3. Step 3: Cross multiply
    143,858x = 316,269 × 316,269
  4. Step 4: Simplify right side
    143,858x = 100,026,080,361
  5. Step 5: Solve for x
    x = 100,026,080,361/143,858
  6. Step 6: Final answer
    x = 695,311.21

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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.