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Finding the Third Proportional to 165,800 and 361,024

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Solution

The third proportional to 165,800 and 361,024 is: 786,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,800 : 361,024 = 361,024 : x
  2. Step 2: Convert to fraction form
    165,800/361,024 = 361,024/x
  3. Step 3: Cross multiply
    165,800x = 361,024 × 361,024
  4. Step 4: Simplify right side
    165,800x = 130,338,328,576
  5. Step 5: Solve for x
    x = 130,338,328,576/165,800
  6. Step 6: Final answer
    x = 786,117.78

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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.