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Finding the Third Proportional to 92,326.50 and 217,827

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Solution

The third proportional to 92,326.50 and 217,827 is: 513,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,326.50 : 217,827 = 217,827 : x
  2. Step 2: Convert to fraction form
    92,326.50/217,827 = 217,827/x
  3. Step 3: Cross multiply
    92,326.50x = 217,827 × 217,827
  4. Step 4: Simplify right side
    92,326.50x = 47,448,601,929
  5. Step 5: Solve for x
    x = 47,448,601,929/92,326.50
  6. Step 6: Final answer
    x = 513,921.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.