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Finding the Third Proportional to 172,062 and 377,334

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Solution

The third proportional to 172,062 and 377,334 is: 827,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,062 : 377,334 = 377,334 : x
  2. Step 2: Convert to fraction form
    172,062/377,334 = 377,334/x
  3. Step 3: Cross multiply
    172,062x = 377,334 × 377,334
  4. Step 4: Simplify right side
    172,062x = 142,380,947,556
  5. Step 5: Solve for x
    x = 142,380,947,556/172,062
  6. Step 6: Final answer
    x = 827,497.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.