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Finding the Third Proportional to 175,899.75 and 414,821.25

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Solution

The third proportional to 175,899.75 and 414,821.25 is: 978,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,899.75 : 414,821.25 = 414,821.25 : x
  2. Step 2: Convert to fraction form
    175,899.75/414,821.25 = 414,821.25/x
  3. Step 3: Cross multiply
    175,899.75x = 414,821.25 × 414,821.25
  4. Step 4: Simplify right side
    175,899.75x = 172,076,669,451.56
  5. Step 5: Solve for x
    x = 172,076,669,451.56/175,899.75
  6. Step 6: Final answer
    x = 978,265.57

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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.