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Finding the Third Proportional to 133,329.75 and 247,745.25

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Solution

The third proportional to 133,329.75 and 247,745.25 is: 460,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,329.75 : 247,745.25 = 247,745.25 : x
  2. Step 2: Convert to fraction form
    133,329.75/247,745.25 = 247,745.25/x
  3. Step 3: Cross multiply
    133,329.75x = 247,745.25 × 247,745.25
  4. Step 4: Simplify right side
    133,329.75x = 61,377,708,897.56
  5. Step 5: Solve for x
    x = 61,377,708,897.56/133,329.75
  6. Step 6: Final answer
    x = 460,345.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.