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Finding the Third Proportional to 143,624 and 308,571

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Solution

The third proportional to 143,624 and 308,571 is: 662,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,624 : 308,571 = 308,571 : x
  2. Step 2: Convert to fraction form
    143,624/308,571 = 308,571/x
  3. Step 3: Cross multiply
    143,624x = 308,571 × 308,571
  4. Step 4: Simplify right side
    143,624x = 95,216,062,041
  5. Step 5: Solve for x
    x = 95,216,062,041/143,624
  6. Step 6: Final answer
    x = 662,953.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.