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Finding the Third Proportional to 143,084 and 282,566

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Solution

The third proportional to 143,084 and 282,566 is: 558,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,084 : 282,566 = 282,566 : x
  2. Step 2: Convert to fraction form
    143,084/282,566 = 282,566/x
  3. Step 3: Cross multiply
    143,084x = 282,566 × 282,566
  4. Step 4: Simplify right side
    143,084x = 79,843,544,356
  5. Step 5: Solve for x
    x = 79,843,544,356/143,084
  6. Step 6: Final answer
    x = 558,018.68

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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.