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Finding the Third Proportional to 197,376.75 and 284,887.13

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Solution

The third proportional to 197,376.75 and 284,887.13 is: 411,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376.75 : 284,887.13 = 284,887.13 : x
  2. Step 2: Convert to fraction form
    197,376.75/284,887.13 = 284,887.13/x
  3. Step 3: Cross multiply
    197,376.75x = 284,887.13 × 284,887.13
  4. Step 4: Simplify right side
    197,376.75x = 81,160,673,990.77
  5. Step 5: Solve for x
    x = 81,160,673,990.77/197,376.75
  6. Step 6: Final answer
    x = 411,196.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.