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Finding the Third Proportional to 157,649 and 238,110

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Solution

The third proportional to 157,649 and 238,110 is: 359,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649 : 238,110 = 238,110 : x
  2. Step 2: Convert to fraction form
    157,649/238,110 = 238,110/x
  3. Step 3: Cross multiply
    157,649x = 238,110 × 238,110
  4. Step 4: Simplify right side
    157,649x = 56,696,372,100
  5. Step 5: Solve for x
    x = 56,696,372,100/157,649
  6. Step 6: Final answer
    x = 359,636.74

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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.