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Finding the Third Proportional to 195,630.19 and 412,273.13

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Solution

The third proportional to 195,630.19 and 412,273.13 is: 868,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,630.19 : 412,273.13 = 412,273.13 : x
  2. Step 2: Convert to fraction form
    195,630.19/412,273.13 = 412,273.13/x
  3. Step 3: Cross multiply
    195,630.19x = 412,273.13 × 412,273.13
  4. Step 4: Simplify right side
    195,630.19x = 169,969,129,597.27
  5. Step 5: Solve for x
    x = 169,969,129,597.27/195,630.19
  6. Step 6: Final answer
    x = 868,828.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.