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Finding the Third Proportional to 85,216.50 and 183,514

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Solution

The third proportional to 85,216.50 and 183,514 is: 395,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,216.50 : 183,514 = 183,514 : x
  2. Step 2: Convert to fraction form
    85,216.50/183,514 = 183,514/x
  3. Step 3: Cross multiply
    85,216.50x = 183,514 × 183,514
  4. Step 4: Simplify right side
    85,216.50x = 33,677,388,196
  5. Step 5: Solve for x
    x = 33,677,388,196/85,216.50
  6. Step 6: Final answer
    x = 395,197.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.