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Finding the Third Proportional to 143,682 and 314,116

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Solution

The third proportional to 143,682 and 314,116 is: 686,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,682 : 314,116 = 314,116 : x
  2. Step 2: Convert to fraction form
    143,682/314,116 = 314,116/x
  3. Step 3: Cross multiply
    143,682x = 314,116 × 314,116
  4. Step 4: Simplify right side
    143,682x = 98,668,861,456
  5. Step 5: Solve for x
    x = 98,668,861,456/143,682
  6. Step 6: Final answer
    x = 686,716.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.