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Finding the Third Proportional to 165,768 and 361,901

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Solution

The third proportional to 165,768 and 361,901 is: 790,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768 : 361,901 = 361,901 : x
  2. Step 2: Convert to fraction form
    165,768/361,901 = 361,901/x
  3. Step 3: Cross multiply
    165,768x = 361,901 × 361,901
  4. Step 4: Simplify right side
    165,768x = 130,972,333,801
  5. Step 5: Solve for x
    x = 130,972,333,801/165,768
  6. Step 6: Final answer
    x = 790,094.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.