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Finding the Third Proportional to 143,223 and 315,048

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Solution

The third proportional to 143,223 and 315,048 is: 693,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,223 : 315,048 = 315,048 : x
  2. Step 2: Convert to fraction form
    143,223/315,048 = 315,048/x
  3. Step 3: Cross multiply
    143,223x = 315,048 × 315,048
  4. Step 4: Simplify right side
    143,223x = 99,255,242,304
  5. Step 5: Solve for x
    x = 99,255,242,304/143,223
  6. Step 6: Final answer
    x = 693,011.89

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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.