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Finding the Third Proportional to 143,700 and 315,648

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Solution

The third proportional to 143,700 and 315,648 is: 693,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,700 : 315,648 = 315,648 : x
  2. Step 2: Convert to fraction form
    143,700/315,648 = 315,648/x
  3. Step 3: Cross multiply
    143,700x = 315,648 × 315,648
  4. Step 4: Simplify right side
    143,700x = 99,633,659,904
  5. Step 5: Solve for x
    x = 99,633,659,904/143,700
  6. Step 6: Final answer
    x = 693,344.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.