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Finding the Third Proportional to 172,241.25 and 369,396

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Solution

The third proportional to 172,241.25 and 369,396 is: 792,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,241.25 : 369,396 = 369,396 : x
  2. Step 2: Convert to fraction form
    172,241.25/369,396 = 369,396/x
  3. Step 3: Cross multiply
    172,241.25x = 369,396 × 369,396
  4. Step 4: Simplify right side
    172,241.25x = 136,453,404,816
  5. Step 5: Solve for x
    x = 136,453,404,816/172,241.25
  6. Step 6: Final answer
    x = 792,222.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.