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Finding the Third Proportional to 239,618 and 371,103

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Solution

The third proportional to 239,618 and 371,103 is: 574,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,618 : 371,103 = 371,103 : x
  2. Step 2: Convert to fraction form
    239,618/371,103 = 371,103/x
  3. Step 3: Cross multiply
    239,618x = 371,103 × 371,103
  4. Step 4: Simplify right side
    239,618x = 137,717,436,609
  5. Step 5: Solve for x
    x = 137,717,436,609/239,618
  6. Step 6: Final answer
    x = 574,737.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.