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Finding the Third Proportional to 183,870 and 285,882.75

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Solution

The third proportional to 183,870 and 285,882.75 is: 444,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,870 : 285,882.75 = 285,882.75 : x
  2. Step 2: Convert to fraction form
    183,870/285,882.75 = 285,882.75/x
  3. Step 3: Cross multiply
    183,870x = 285,882.75 × 285,882.75
  4. Step 4: Simplify right side
    183,870x = 81,728,946,747.56
  5. Step 5: Solve for x
    x = 81,728,946,747.56/183,870
  6. Step 6: Final answer
    x = 444,493.10

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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.