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Finding the Third Proportional to 194,308.88 and 420,218.44

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Solution

The third proportional to 194,308.88 and 420,218.44 is: 908,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,308.88 : 420,218.44 = 420,218.44 : x
  2. Step 2: Convert to fraction form
    194,308.88/420,218.44 = 420,218.44/x
  3. Step 3: Cross multiply
    194,308.88x = 420,218.44 × 420,218.44
  4. Step 4: Simplify right side
    194,308.88x = 176,583,535,214.94
  5. Step 5: Solve for x
    x = 176,583,535,214.94/194,308.88
  6. Step 6: Final answer
    x = 908,777.51

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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.