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Finding the Third Proportional to 70,287.75 and 153,682.31

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Solution

The third proportional to 70,287.75 and 153,682.31 is: 336,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.75 : 153,682.31 = 153,682.31 : x
  2. Step 2: Convert to fraction form
    70,287.75/153,682.31 = 153,682.31/x
  3. Step 3: Cross multiply
    70,287.75x = 153,682.31 × 153,682.31
  4. Step 4: Simplify right side
    70,287.75x = 23,618,253,175.35
  5. Step 5: Solve for x
    x = 23,618,253,175.35/70,287.75
  6. Step 6: Final answer
    x = 336,022.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.