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Finding the Third Proportional to 165,661 and 255,097

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Solution

The third proportional to 165,661 and 255,097 is: 392,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,661 : 255,097 = 255,097 : x
  2. Step 2: Convert to fraction form
    165,661/255,097 = 255,097/x
  3. Step 3: Cross multiply
    165,661x = 255,097 × 255,097
  4. Step 4: Simplify right side
    165,661x = 65,074,479,409
  5. Step 5: Solve for x
    x = 65,074,479,409/165,661
  6. Step 6: Final answer
    x = 392,817.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.