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Finding the Third Proportional to 194,426 and 404,372

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Solution

The third proportional to 194,426 and 404,372 is: 841,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,426 : 404,372 = 404,372 : x
  2. Step 2: Convert to fraction form
    194,426/404,372 = 404,372/x
  3. Step 3: Cross multiply
    194,426x = 404,372 × 404,372
  4. Step 4: Simplify right side
    194,426x = 163,516,714,384
  5. Step 5: Solve for x
    x = 163,516,714,384/194,426
  6. Step 6: Final answer
    x = 841,022.88

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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.