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Finding the Third Proportional to 194,424 and 304,596

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Solution

The third proportional to 194,424 and 304,596 is: 477,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424 : 304,596 = 304,596 : x
  2. Step 2: Convert to fraction form
    194,424/304,596 = 304,596/x
  3. Step 3: Cross multiply
    194,424x = 304,596 × 304,596
  4. Step 4: Simplify right side
    194,424x = 92,778,723,216
  5. Step 5: Solve for x
    x = 92,778,723,216/194,424
  6. Step 6: Final answer
    x = 477,197.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.