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Finding the Third Proportional to 195,592 and 412,210

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Solution

The third proportional to 195,592 and 412,210 is: 868,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,592 : 412,210 = 412,210 : x
  2. Step 2: Convert to fraction form
    195,592/412,210 = 412,210/x
  3. Step 3: Cross multiply
    195,592x = 412,210 × 412,210
  4. Step 4: Simplify right side
    195,592x = 169,917,084,100
  5. Step 5: Solve for x
    x = 169,917,084,100/195,592
  6. Step 6: Final answer
    x = 868,732.28

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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.