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Finding the Third Proportional to 170,133 and 366,843

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Solution

The third proportional to 170,133 and 366,843 is: 790,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,133 : 366,843 = 366,843 : x
  2. Step 2: Convert to fraction form
    170,133/366,843 = 366,843/x
  3. Step 3: Cross multiply
    170,133x = 366,843 × 366,843
  4. Step 4: Simplify right side
    170,133x = 134,573,786,649
  5. Step 5: Solve for x
    x = 134,573,786,649/170,133
  6. Step 6: Final answer
    x = 790,991.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.