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Finding the Third Proportional to 165,464 and 357,173

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Solution

The third proportional to 165,464 and 357,173 is: 770,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,464 : 357,173 = 357,173 : x
  2. Step 2: Convert to fraction form
    165,464/357,173 = 357,173/x
  3. Step 3: Cross multiply
    165,464x = 357,173 × 357,173
  4. Step 4: Simplify right side
    165,464x = 127,572,551,929
  5. Step 5: Solve for x
    x = 127,572,551,929/165,464
  6. Step 6: Final answer
    x = 770,998.84

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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.