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Finding the Third Proportional to 143,112 and 282,606

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Solution

The third proportional to 143,112 and 282,606 is: 558,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,112 : 282,606 = 282,606 : x
  2. Step 2: Convert to fraction form
    143,112/282,606 = 282,606/x
  3. Step 3: Cross multiply
    143,112x = 282,606 × 282,606
  4. Step 4: Simplify right side
    143,112x = 79,866,151,236
  5. Step 5: Solve for x
    x = 79,866,151,236/143,112
  6. Step 6: Final answer
    x = 558,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.