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Finding the Third Proportional to 194,375.88 and 404,269.50

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Solution

The third proportional to 194,375.88 and 404,269.50 is: 840,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,375.88 : 404,269.50 = 404,269.50 : x
  2. Step 2: Convert to fraction form
    194,375.88/404,269.50 = 404,269.50/x
  3. Step 3: Cross multiply
    194,375.88x = 404,269.50 × 404,269.50
  4. Step 4: Simplify right side
    194,375.88x = 163,433,828,630.25
  5. Step 5: Solve for x
    x = 163,433,828,630.25/194,375.88
  6. Step 6: Final answer
    x = 840,813.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.