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Finding the Third Proportional to 157,745.25 and 229,416.75

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Solution

The third proportional to 157,745.25 and 229,416.75 is: 333,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,745.25 : 229,416.75 = 229,416.75 : x
  2. Step 2: Convert to fraction form
    157,745.25/229,416.75 = 229,416.75/x
  3. Step 3: Cross multiply
    157,745.25x = 229,416.75 × 229,416.75
  4. Step 4: Simplify right side
    157,745.25x = 52,632,045,180.56
  5. Step 5: Solve for x
    x = 52,632,045,180.56/157,745.25
  6. Step 6: Final answer
    x = 333,652.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.