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Finding the Third Proportional to 85,317.56 and 183,514.31

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Solution

The third proportional to 85,317.56 and 183,514.31 is: 394,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,317.56 : 183,514.31 = 183,514.31 : x
  2. Step 2: Convert to fraction form
    85,317.56/183,514.31 = 183,514.31/x
  3. Step 3: Cross multiply
    85,317.56x = 183,514.31 × 183,514.31
  4. Step 4: Simplify right side
    85,317.56x = 33,677,502,892.35
  5. Step 5: Solve for x
    x = 33,677,502,892.35/85,317.56
  6. Step 6: Final answer
    x = 394,731.19

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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.