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Finding the Third Proportional to 143,517 and 316,014

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Solution

The third proportional to 143,517 and 316,014 is: 695,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,517 : 316,014 = 316,014 : x
  2. Step 2: Convert to fraction form
    143,517/316,014 = 316,014/x
  3. Step 3: Cross multiply
    143,517x = 316,014 × 316,014
  4. Step 4: Simplify right side
    143,517x = 99,864,848,196
  5. Step 5: Solve for x
    x = 99,864,848,196/143,517
  6. Step 6: Final answer
    x = 695,839.85

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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.