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Finding the Third Proportional to 154,658 and 235,227

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Solution

The third proportional to 154,658 and 235,227 is: 357,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,658 : 235,227 = 235,227 : x
  2. Step 2: Convert to fraction form
    154,658/235,227 = 235,227/x
  3. Step 3: Cross multiply
    154,658x = 235,227 × 235,227
  4. Step 4: Simplify right side
    154,658x = 55,331,741,529
  5. Step 5: Solve for x
    x = 55,331,741,529/154,658
  6. Step 6: Final answer
    x = 357,768.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.