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Finding the Third Proportional to 109,344 and 235,912

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Solution

The third proportional to 109,344 and 235,912 is: 508,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344 : 235,912 = 235,912 : x
  2. Step 2: Convert to fraction form
    109,344/235,912 = 235,912/x
  3. Step 3: Cross multiply
    109,344x = 235,912 × 235,912
  4. Step 4: Simplify right side
    109,344x = 55,654,471,744
  5. Step 5: Solve for x
    x = 55,654,471,744/109,344
  6. Step 6: Final answer
    x = 508,985.15

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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.