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Finding the Third Proportional to 143,084 and 310,792

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Solution

The third proportional to 143,084 and 310,792 is: 675,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,084 : 310,792 = 310,792 : x
  2. Step 2: Convert to fraction form
    143,084/310,792 = 310,792/x
  3. Step 3: Cross multiply
    143,084x = 310,792 × 310,792
  4. Step 4: Simplify right side
    143,084x = 96,591,667,264
  5. Step 5: Solve for x
    x = 96,591,667,264/143,084
  6. Step 6: Final answer
    x = 675,069.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.