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Finding the Third Proportional to 109,896 and 235,344

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Solution

The third proportional to 109,896 and 235,344 is: 503,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896 : 235,344 = 235,344 : x
  2. Step 2: Convert to fraction form
    109,896/235,344 = 235,344/x
  3. Step 3: Cross multiply
    109,896x = 235,344 × 235,344
  4. Step 4: Simplify right side
    109,896x = 55,386,798,336
  5. Step 5: Solve for x
    x = 55,386,798,336/109,896
  6. Step 6: Final answer
    x = 503,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.