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Finding the Third Proportional to 157,647 and 238,107

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Solution

The third proportional to 157,647 and 238,107 is: 359,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,647 : 238,107 = 238,107 : x
  2. Step 2: Convert to fraction form
    157,647/238,107 = 238,107/x
  3. Step 3: Cross multiply
    157,647x = 238,107 × 238,107
  4. Step 4: Simplify right side
    157,647x = 56,694,943,449
  5. Step 5: Solve for x
    x = 56,694,943,449/157,647
  6. Step 6: Final answer
    x = 359,632.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.