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Finding the Third Proportional to 236,603.25 and 354,540.38

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Solution

The third proportional to 236,603.25 and 354,540.38 is: 531,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,603.25 : 354,540.38 = 354,540.38 : x
  2. Step 2: Convert to fraction form
    236,603.25/354,540.38 = 354,540.38/x
  3. Step 3: Cross multiply
    236,603.25x = 354,540.38 × 354,540.38
  4. Step 4: Simplify right side
    236,603.25x = 125,698,877,505.14
  5. Step 5: Solve for x
    x = 125,698,877,505.14/236,603.25
  6. Step 6: Final answer
    x = 531,264.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.