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Finding the Third Proportional to 169,344 and 362,034

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Solution

The third proportional to 169,344 and 362,034 is: 773,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 362,034 = 362,034 : x
  2. Step 2: Convert to fraction form
    169,344/362,034 = 362,034/x
  3. Step 3: Cross multiply
    169,344x = 362,034 × 362,034
  4. Step 4: Simplify right side
    169,344x = 131,068,617,156
  5. Step 5: Solve for x
    x = 131,068,617,156/169,344
  6. Step 6: Final answer
    x = 773,978.51

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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.