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Finding the Third Proportional to 196,951.50 and 304,174.13

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Solution

The third proportional to 196,951.50 and 304,174.13 is: 469,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,951.50 : 304,174.13 = 304,174.13 : x
  2. Step 2: Convert to fraction form
    196,951.50/304,174.13 = 304,174.13/x
  3. Step 3: Cross multiply
    196,951.50x = 304,174.13 × 304,174.13
  4. Step 4: Simplify right side
    196,951.50x = 92,521,898,319.52
  5. Step 5: Solve for x
    x = 92,521,898,319.52/196,951.50
  6. Step 6: Final answer
    x = 469,769.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.