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Finding the Third Proportional to 157,942 and 372,848

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Solution

The third proportional to 157,942 and 372,848 is: 880,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942 : 372,848 = 372,848 : x
  2. Step 2: Convert to fraction form
    157,942/372,848 = 372,848/x
  3. Step 3: Cross multiply
    157,942x = 372,848 × 372,848
  4. Step 4: Simplify right side
    157,942x = 139,015,631,104
  5. Step 5: Solve for x
    x = 139,015,631,104/157,942
  6. Step 6: Final answer
    x = 880,168.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.