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Finding the Third Proportional to 157,664 and 238,131

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Solution

The third proportional to 157,664 and 238,131 is: 359,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,664 : 238,131 = 238,131 : x
  2. Step 2: Convert to fraction form
    157,664/238,131 = 238,131/x
  3. Step 3: Cross multiply
    157,664x = 238,131 × 238,131
  4. Step 4: Simplify right side
    157,664x = 56,706,373,161
  5. Step 5: Solve for x
    x = 56,706,373,161/157,664
  6. Step 6: Final answer
    x = 359,665.96

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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.