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Finding the Third Proportional to 194,422.13 and 404,364

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Solution

The third proportional to 194,422.13 and 404,364 is: 841,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,422.13 : 404,364 = 404,364 : x
  2. Step 2: Convert to fraction form
    194,422.13/404,364 = 404,364/x
  3. Step 3: Cross multiply
    194,422.13x = 404,364 × 404,364
  4. Step 4: Simplify right side
    194,422.13x = 163,510,244,496
  5. Step 5: Solve for x
    x = 163,510,244,496/194,422.13
  6. Step 6: Final answer
    x = 841,006.36

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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.