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Finding the Third Proportional to 194,268 and 416,184

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Solution

The third proportional to 194,268 and 416,184 is: 891,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,268 : 416,184 = 416,184 : x
  2. Step 2: Convert to fraction form
    194,268/416,184 = 416,184/x
  3. Step 3: Cross multiply
    194,268x = 416,184 × 416,184
  4. Step 4: Simplify right side
    194,268x = 173,209,121,856
  5. Step 5: Solve for x
    x = 173,209,121,856/194,268
  6. Step 6: Final answer
    x = 891,598.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.