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Finding the Third Proportional to 109,302 and 235,824

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Solution

The third proportional to 109,302 and 235,824 is: 508,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302 : 235,824 = 235,824 : x
  2. Step 2: Convert to fraction form
    109,302/235,824 = 235,824/x
  3. Step 3: Cross multiply
    109,302x = 235,824 × 235,824
  4. Step 4: Simplify right side
    109,302x = 55,612,958,976
  5. Step 5: Solve for x
    x = 55,612,958,976/109,302
  6. Step 6: Final answer
    x = 508,800.93

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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.