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Finding the Third Proportional to 195,697.69 and 420,346.13

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Solution

The third proportional to 195,697.69 and 420,346.13 is: 902,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,697.69 : 420,346.13 = 420,346.13 : x
  2. Step 2: Convert to fraction form
    195,697.69/420,346.13 = 420,346.13/x
  3. Step 3: Cross multiply
    195,697.69x = 420,346.13 × 420,346.13
  4. Step 4: Simplify right side
    195,697.69x = 176,690,864,802.52
  5. Step 5: Solve for x
    x = 176,690,864,802.52/195,697.69
  6. Step 6: Final answer
    x = 902,876.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.