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Finding the Third Proportional to 232,268.75 and 355,346.25

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Solution

The third proportional to 232,268.75 and 355,346.25 is: 543,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,268.75 : 355,346.25 = 355,346.25 : x
  2. Step 2: Convert to fraction form
    232,268.75/355,346.25 = 355,346.25/x
  3. Step 3: Cross multiply
    232,268.75x = 355,346.25 × 355,346.25
  4. Step 4: Simplify right side
    232,268.75x = 126,270,957,389.06
  5. Step 5: Solve for x
    x = 126,270,957,389.06/232,268.75
  6. Step 6: Final answer
    x = 543,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.