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Finding the Third Proportional to 194,095.88 and 411,519.75

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Solution

The third proportional to 194,095.88 and 411,519.75 is: 872,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,095.88 : 411,519.75 = 411,519.75 : x
  2. Step 2: Convert to fraction form
    194,095.88/411,519.75 = 411,519.75/x
  3. Step 3: Cross multiply
    194,095.88x = 411,519.75 × 411,519.75
  4. Step 4: Simplify right side
    194,095.88x = 169,348,504,640.06
  5. Step 5: Solve for x
    x = 169,348,504,640.06/194,095.88
  6. Step 6: Final answer
    x = 872,499.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.