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Finding the Third Proportional to 157,648.50 and 226,631.25

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Solution

The third proportional to 157,648.50 and 226,631.25 is: 325,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648.50 : 226,631.25 = 226,631.25 : x
  2. Step 2: Convert to fraction form
    157,648.50/226,631.25 = 226,631.25/x
  3. Step 3: Cross multiply
    157,648.50x = 226,631.25 × 226,631.25
  4. Step 4: Simplify right side
    157,648.50x = 51,361,723,476.56
  5. Step 5: Solve for x
    x = 51,361,723,476.56/157,648.50
  6. Step 6: Final answer
    x = 325,799.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.