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Finding the Third Proportional to 237,314 and 356,979

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Solution

The third proportional to 237,314 and 356,979 is: 536,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,314 : 356,979 = 356,979 : x
  2. Step 2: Convert to fraction form
    237,314/356,979 = 356,979/x
  3. Step 3: Cross multiply
    237,314x = 356,979 × 356,979
  4. Step 4: Simplify right side
    237,314x = 127,434,006,441
  5. Step 5: Solve for x
    x = 127,434,006,441/237,314
  6. Step 6: Final answer
    x = 536,984.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.