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Finding the Third Proportional to 194,964 and 405,246

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Solution

The third proportional to 194,964 and 405,246 is: 842,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,964 : 405,246 = 405,246 : x
  2. Step 2: Convert to fraction form
    194,964/405,246 = 405,246/x
  3. Step 3: Cross multiply
    194,964x = 405,246 × 405,246
  4. Step 4: Simplify right side
    194,964x = 164,224,320,516
  5. Step 5: Solve for x
    x = 164,224,320,516/194,964
  6. Step 6: Final answer
    x = 842,331.51

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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.