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Finding the Third Proportional to 165,622 and 254,914

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Solution

The third proportional to 165,622 and 254,914 is: 392,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,622 : 254,914 = 254,914 : x
  2. Step 2: Convert to fraction form
    165,622/254,914 = 254,914/x
  3. Step 3: Cross multiply
    165,622x = 254,914 × 254,914
  4. Step 4: Simplify right side
    165,622x = 64,981,147,396
  5. Step 5: Solve for x
    x = 64,981,147,396/165,622
  6. Step 6: Final answer
    x = 392,346.11

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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.