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Finding the Third Proportional to 169,332 and 362,016

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Solution

The third proportional to 169,332 and 362,016 is: 773,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,332 : 362,016 = 362,016 : x
  2. Step 2: Convert to fraction form
    169,332/362,016 = 362,016/x
  3. Step 3: Cross multiply
    169,332x = 362,016 × 362,016
  4. Step 4: Simplify right side
    169,332x = 131,055,584,256
  5. Step 5: Solve for x
    x = 131,055,584,256/169,332
  6. Step 6: Final answer
    x = 773,956.39

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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.