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Finding the Third Proportional to 238,403.25 and 360,036

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Solution

The third proportional to 238,403.25 and 360,036 is: 543,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,403.25 : 360,036 = 360,036 : x
  2. Step 2: Convert to fraction form
    238,403.25/360,036 = 360,036/x
  3. Step 3: Cross multiply
    238,403.25x = 360,036 × 360,036
  4. Step 4: Simplify right side
    238,403.25x = 129,625,921,296
  5. Step 5: Solve for x
    x = 129,625,921,296/238,403.25
  6. Step 6: Final answer
    x = 543,725.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.