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Finding the Third Proportional to 157,744 and 238,497

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Solution

The third proportional to 157,744 and 238,497 is: 360,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,744 : 238,497 = 238,497 : x
  2. Step 2: Convert to fraction form
    157,744/238,497 = 238,497/x
  3. Step 3: Cross multiply
    157,744x = 238,497 × 238,497
  4. Step 4: Simplify right side
    157,744x = 56,880,819,009
  5. Step 5: Solve for x
    x = 56,880,819,009/157,744
  6. Step 6: Final answer
    x = 360,589.43

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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.