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Finding the Third Proportional to 154,227 and 230,058

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Solution

The third proportional to 154,227 and 230,058 is: 343,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,227 : 230,058 = 230,058 : x
  2. Step 2: Convert to fraction form
    154,227/230,058 = 230,058/x
  3. Step 3: Cross multiply
    154,227x = 230,058 × 230,058
  4. Step 4: Simplify right side
    154,227x = 52,926,683,364
  5. Step 5: Solve for x
    x = 52,926,683,364/154,227
  6. Step 6: Final answer
    x = 343,173.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.