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Finding the Third Proportional to 96,784 and 227,715

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Solution

The third proportional to 96,784 and 227,715 is: 535,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,784 : 227,715 = 227,715 : x
  2. Step 2: Convert to fraction form
    96,784/227,715 = 227,715/x
  3. Step 3: Cross multiply
    96,784x = 227,715 × 227,715
  4. Step 4: Simplify right side
    96,784x = 51,854,121,225
  5. Step 5: Solve for x
    x = 51,854,121,225/96,784
  6. Step 6: Final answer
    x = 535,771.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.