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Finding the Third Proportional to 200,194 and 439,762

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Solution

The third proportional to 200,194 and 439,762 is: 966,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,194 : 439,762 = 439,762 : x
  2. Step 2: Convert to fraction form
    200,194/439,762 = 439,762/x
  3. Step 3: Cross multiply
    200,194x = 439,762 × 439,762
  4. Step 4: Simplify right side
    200,194x = 193,390,616,644
  5. Step 5: Solve for x
    x = 193,390,616,644/200,194
  6. Step 6: Final answer
    x = 966,016.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.