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Finding the Third Proportional to 171,922 and 369,240

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Solution

The third proportional to 171,922 and 369,240 is: 793,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,922 : 369,240 = 369,240 : x
  2. Step 2: Convert to fraction form
    171,922/369,240 = 369,240/x
  3. Step 3: Cross multiply
    171,922x = 369,240 × 369,240
  4. Step 4: Simplify right side
    171,922x = 136,338,177,600
  5. Step 5: Solve for x
    x = 136,338,177,600/171,922
  6. Step 6: Final answer
    x = 793,023.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.