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Finding the Third Proportional to 194,421.75 and 404,362.75

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Solution

The third proportional to 194,421.75 and 404,362.75 is: 841,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,421.75 : 404,362.75 = 404,362.75 : x
  2. Step 2: Convert to fraction form
    194,421.75/404,362.75 = 404,362.75/x
  3. Step 3: Cross multiply
    194,421.75x = 404,362.75 × 404,362.75
  4. Step 4: Simplify right side
    194,421.75x = 163,509,233,587.56
  5. Step 5: Solve for x
    x = 163,509,233,587.56/194,421.75
  6. Step 6: Final answer
    x = 841,002.79

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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.