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Finding the Third Proportional to 157,839.75 and 228,467.25

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Solution

The third proportional to 157,839.75 and 228,467.25 is: 330,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,839.75 : 228,467.25 = 228,467.25 : x
  2. Step 2: Convert to fraction form
    157,839.75/228,467.25 = 228,467.25/x
  3. Step 3: Cross multiply
    157,839.75x = 228,467.25 × 228,467.25
  4. Step 4: Simplify right side
    157,839.75x = 52,197,284,322.56
  5. Step 5: Solve for x
    x = 52,197,284,322.56/157,839.75
  6. Step 6: Final answer
    x = 330,697.97

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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.