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Finding the Third Proportional to 157,740 and 236,366

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Solution

The third proportional to 157,740 and 236,366 is: 354,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,740 : 236,366 = 236,366 : x
  2. Step 2: Convert to fraction form
    157,740/236,366 = 236,366/x
  3. Step 3: Cross multiply
    157,740x = 236,366 × 236,366
  4. Step 4: Simplify right side
    157,740x = 55,868,885,956
  5. Step 5: Solve for x
    x = 55,868,885,956/157,740
  6. Step 6: Final answer
    x = 354,183.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.