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Finding the Third Proportional to 109,346 and 239,188

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Solution

The third proportional to 109,346 and 239,188 is: 523,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,346 : 239,188 = 239,188 : x
  2. Step 2: Convert to fraction form
    109,346/239,188 = 239,188/x
  3. Step 3: Cross multiply
    109,346x = 239,188 × 239,188
  4. Step 4: Simplify right side
    109,346x = 57,210,899,344
  5. Step 5: Solve for x
    x = 57,210,899,344/109,346
  6. Step 6: Final answer
    x = 523,209.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.