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Finding the Third Proportional to 157,722 and 226,714

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Solution

The third proportional to 157,722 and 226,714 is: 325,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722 : 226,714 = 226,714 : x
  2. Step 2: Convert to fraction form
    157,722/226,714 = 226,714/x
  3. Step 3: Cross multiply
    157,722x = 226,714 × 226,714
  4. Step 4: Simplify right side
    157,722x = 51,399,237,796
  5. Step 5: Solve for x
    x = 51,399,237,796/157,722
  6. Step 6: Final answer
    x = 325,885.02

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