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Finding the Third Proportional to 157,566.75 and 226,508.25

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Solution

The third proportional to 157,566.75 and 226,508.25 is: 325,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566.75 : 226,508.25 = 226,508.25 : x
  2. Step 2: Convert to fraction form
    157,566.75/226,508.25 = 226,508.25/x
  3. Step 3: Cross multiply
    157,566.75x = 226,508.25 × 226,508.25
  4. Step 4: Simplify right side
    157,566.75x = 51,305,987,318.06
  5. Step 5: Solve for x
    x = 51,305,987,318.06/157,566.75
  6. Step 6: Final answer
    x = 325,614.30

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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.