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Finding the Third Proportional to 109,380 and 235,832

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Solution

The third proportional to 109,380 and 235,832 is: 508,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,380 : 235,832 = 235,832 : x
  2. Step 2: Convert to fraction form
    109,380/235,832 = 235,832/x
  3. Step 3: Cross multiply
    109,380x = 235,832 × 235,832
  4. Step 4: Simplify right side
    109,380x = 55,616,732,224
  5. Step 5: Solve for x
    x = 55,616,732,224/109,380
  6. Step 6: Final answer
    x = 508,472.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.