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Finding the Third Proportional to 194,712.25 and 420,563.75

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Solution

The third proportional to 194,712.25 and 420,563.75 is: 908,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,712.25 : 420,563.75 = 420,563.75 : x
  2. Step 2: Convert to fraction form
    194,712.25/420,563.75 = 420,563.75/x
  3. Step 3: Cross multiply
    194,712.25x = 420,563.75 × 420,563.75
  4. Step 4: Simplify right side
    194,712.25x = 176,873,867,814.06
  5. Step 5: Solve for x
    x = 176,873,867,814.06/194,712.25
  6. Step 6: Final answer
    x = 908,385.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.