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Finding the Third Proportional to 189,356.25 and 410,901

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Solution

The third proportional to 189,356.25 and 410,901 is: 891,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,356.25 : 410,901 = 410,901 : x
  2. Step 2: Convert to fraction form
    189,356.25/410,901 = 410,901/x
  3. Step 3: Cross multiply
    189,356.25x = 410,901 × 410,901
  4. Step 4: Simplify right side
    189,356.25x = 168,839,631,801
  5. Step 5: Solve for x
    x = 168,839,631,801/189,356.25
  6. Step 6: Final answer
    x = 891,650.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.