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Finding the Third Proportional to 170,415 and 369,042.75

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Solution

The third proportional to 170,415 and 369,042.75 is: 799,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,415 : 369,042.75 = 369,042.75 : x
  2. Step 2: Convert to fraction form
    170,415/369,042.75 = 369,042.75/x
  3. Step 3: Cross multiply
    170,415x = 369,042.75 × 369,042.75
  4. Step 4: Simplify right side
    170,415x = 136,192,551,327.56
  5. Step 5: Solve for x
    x = 136,192,551,327.56/170,415
  6. Step 6: Final answer
    x = 799,181.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.