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Finding the Third Proportional to 165,619.69 and 254,910.80

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Solution

The third proportional to 165,619.69 and 254,910.80 is: 392,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,619.69 : 254,910.80 = 254,910.80 : x
  2. Step 2: Convert to fraction form
    165,619.69/254,910.80 = 254,910.80/x
  3. Step 3: Cross multiply
    165,619.69x = 254,910.80 × 254,910.80
  4. Step 4: Simplify right side
    165,619.69x = 64,979,514,363.45
  5. Step 5: Solve for x
    x = 64,979,514,363.45/165,619.69
  6. Step 6: Final answer
    x = 392,341.73

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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.