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Finding the Third Proportional to 109,188 and 237,606

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Solution

The third proportional to 109,188 and 237,606 is: 517,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,188 : 237,606 = 237,606 : x
  2. Step 2: Convert to fraction form
    109,188/237,606 = 237,606/x
  3. Step 3: Cross multiply
    109,188x = 237,606 × 237,606
  4. Step 4: Simplify right side
    109,188x = 56,456,611,236
  5. Step 5: Solve for x
    x = 56,456,611,236/109,188
  6. Step 6: Final answer
    x = 517,058.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.