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Finding the Third Proportional to 169,150.25 and 352,294.38

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Solution

The third proportional to 169,150.25 and 352,294.38 is: 733,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,150.25 : 352,294.38 = 352,294.38 : x
  2. Step 2: Convert to fraction form
    169,150.25/352,294.38 = 352,294.38/x
  3. Step 3: Cross multiply
    169,150.25x = 352,294.38 × 352,294.38
  4. Step 4: Simplify right side
    169,150.25x = 124,111,326,656.64
  5. Step 5: Solve for x
    x = 124,111,326,656.64/169,150.25
  6. Step 6: Final answer
    x = 733,734.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.