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Finding the Third Proportional to 165,619.69 and 359,245.13

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Solution

The third proportional to 165,619.69 and 359,245.13 is: 779,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,619.69 : 359,245.13 = 359,245.13 : x
  2. Step 2: Convert to fraction form
    165,619.69/359,245.13 = 359,245.13/x
  3. Step 3: Cross multiply
    165,619.69x = 359,245.13 × 359,245.13
  4. Step 4: Simplify right side
    165,619.69x = 129,057,059,836.27
  5. Step 5: Solve for x
    x = 129,057,059,836.27/165,619.69
  6. Step 6: Final answer
    x = 779,237.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.