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Finding the Third Proportional to 237,942 and 347,961

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Solution

The third proportional to 237,942 and 347,961 is: 508,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,942 : 347,961 = 347,961 : x
  2. Step 2: Convert to fraction form
    237,942/347,961 = 347,961/x
  3. Step 3: Cross multiply
    237,942x = 347,961 × 347,961
  4. Step 4: Simplify right side
    237,942x = 121,076,857,521
  5. Step 5: Solve for x
    x = 121,076,857,521/237,942
  6. Step 6: Final answer
    x = 508,850.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.