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Finding the Third Proportional to 195,202 and 426,212

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Solution

The third proportional to 195,202 and 426,212 is: 930,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,202 : 426,212 = 426,212 : x
  2. Step 2: Convert to fraction form
    195,202/426,212 = 426,212/x
  3. Step 3: Cross multiply
    195,202x = 426,212 × 426,212
  4. Step 4: Simplify right side
    195,202x = 181,656,668,944
  5. Step 5: Solve for x
    x = 181,656,668,944/195,202
  6. Step 6: Final answer
    x = 930,608.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.