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Finding the Third Proportional to 172,268 and 369,442

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Solution

The third proportional to 172,268 and 369,442 is: 792,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,268 : 369,442 = 369,442 : x
  2. Step 2: Convert to fraction form
    172,268/369,442 = 369,442/x
  3. Step 3: Cross multiply
    172,268x = 369,442 × 369,442
  4. Step 4: Simplify right side
    172,268x = 136,487,391,364
  5. Step 5: Solve for x
    x = 136,487,391,364/172,268
  6. Step 6: Final answer
    x = 792,296.84

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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.