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Finding the Third Proportional to 143,229 and 315,058

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Solution

The third proportional to 143,229 and 315,058 is: 693,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,229 : 315,058 = 315,058 : x
  2. Step 2: Convert to fraction form
    143,229/315,058 = 315,058/x
  3. Step 3: Cross multiply
    143,229x = 315,058 × 315,058
  4. Step 4: Simplify right side
    143,229x = 99,261,543,364
  5. Step 5: Solve for x
    x = 99,261,543,364/143,229
  6. Step 6: Final answer
    x = 693,026.85

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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.