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Finding the Third Proportional to 131,816 and 284,368

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Solution

The third proportional to 131,816 and 284,368 is: 613,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,816 : 284,368 = 284,368 : x
  2. Step 2: Convert to fraction form
    131,816/284,368 = 284,368/x
  3. Step 3: Cross multiply
    131,816x = 284,368 × 284,368
  4. Step 4: Simplify right side
    131,816x = 80,865,159,424
  5. Step 5: Solve for x
    x = 80,865,159,424/131,816
  6. Step 6: Final answer
    x = 613,469.98

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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.