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Finding the Third Proportional to 131,538 and 284,095

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Solution

The third proportional to 131,538 and 284,095 is: 613,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,538 : 284,095 = 284,095 : x
  2. Step 2: Convert to fraction form
    131,538/284,095 = 284,095/x
  3. Step 3: Cross multiply
    131,538x = 284,095 × 284,095
  4. Step 4: Simplify right side
    131,538x = 80,709,969,025
  5. Step 5: Solve for x
    x = 80,709,969,025/131,538
  6. Step 6: Final answer
    x = 613,586.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.