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Finding the Third Proportional to 131,436 and 285,015.38

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Solution

The third proportional to 131,436 and 285,015.38 is: 618,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,436 : 285,015.38 = 285,015.38 : x
  2. Step 2: Convert to fraction form
    131,436/285,015.38 = 285,015.38/x
  3. Step 3: Cross multiply
    131,436x = 285,015.38 × 285,015.38
  4. Step 4: Simplify right side
    131,436x = 81,233,763,986.39
  5. Step 5: Solve for x
    x = 81,233,763,986.39/131,436
  6. Step 6: Final answer
    x = 618,048.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.