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Finding the Third Proportional to 165,460.22 and 357,164.44

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Solution

The third proportional to 165,460.22 and 357,164.44 is: 770,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,460.22 : 357,164.44 = 357,164.44 : x
  2. Step 2: Convert to fraction form
    165,460.22/357,164.44 = 357,164.44/x
  3. Step 3: Cross multiply
    165,460.22x = 357,164.44 × 357,164.44
  4. Step 4: Simplify right side
    165,460.22x = 127,566,435,414.69
  5. Step 5: Solve for x
    x = 127,566,435,414.69/165,460.22
  6. Step 6: Final answer
    x = 770,979.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.