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Finding the Third Proportional to 157,657 and 226,644

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Solution

The third proportional to 157,657 and 226,644 is: 325,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,657 : 226,644 = 226,644 : x
  2. Step 2: Convert to fraction form
    157,657/226,644 = 226,644/x
  3. Step 3: Cross multiply
    157,657x = 226,644 × 226,644
  4. Step 4: Simplify right side
    157,657x = 51,367,502,736
  5. Step 5: Solve for x
    x = 51,367,502,736/157,657
  6. Step 6: Final answer
    x = 325,818.09

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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.