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Finding the Third Proportional to 189,317.25 and 414,274.50

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Solution

The third proportional to 189,317.25 and 414,274.50 is: 906,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,317.25 : 414,274.50 = 414,274.50 : x
  2. Step 2: Convert to fraction form
    189,317.25/414,274.50 = 414,274.50/x
  3. Step 3: Cross multiply
    189,317.25x = 414,274.50 × 414,274.50
  4. Step 4: Simplify right side
    189,317.25x = 171,623,361,350.25
  5. Step 5: Solve for x
    x = 171,623,361,350.25/189,317.25
  6. Step 6: Final answer
    x = 906,538.42

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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.