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Finding the Third Proportional to 175,641.75 and 414,489.66

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Solution

The third proportional to 175,641.75 and 414,489.66 is: 978,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,641.75 : 414,489.66 = 414,489.66 : x
  2. Step 2: Convert to fraction form
    175,641.75/414,489.66 = 414,489.66/x
  3. Step 3: Cross multiply
    175,641.75x = 414,489.66 × 414,489.66
  4. Step 4: Simplify right side
    175,641.75x = 171,801,675,138.24
  5. Step 5: Solve for x
    x = 171,801,675,138.24/175,641.75
  6. Step 6: Final answer
    x = 978,136.89

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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.