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Finding the Third Proportional to 195,559 and 412,133

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Solution

The third proportional to 195,559 and 412,133 is: 868,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,559 : 412,133 = 412,133 : x
  2. Step 2: Convert to fraction form
    195,559/412,133 = 412,133/x
  3. Step 3: Cross multiply
    195,559x = 412,133 × 412,133
  4. Step 4: Simplify right side
    195,559x = 169,853,609,689
  5. Step 5: Solve for x
    x = 169,853,609,689/195,559
  6. Step 6: Final answer
    x = 868,554.30

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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.