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Finding the Third Proportional to 165,327 and 352,284

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Solution

The third proportional to 165,327 and 352,284 is: 750,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,327 : 352,284 = 352,284 : x
  2. Step 2: Convert to fraction form
    165,327/352,284 = 352,284/x
  3. Step 3: Cross multiply
    165,327x = 352,284 × 352,284
  4. Step 4: Simplify right side
    165,327x = 124,104,016,656
  5. Step 5: Solve for x
    x = 124,104,016,656/165,327
  6. Step 6: Final answer
    x = 750,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.