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Finding the Third Proportional to 109,329 and 235,884

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Solution

The third proportional to 109,329 and 235,884 is: 508,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,329 : 235,884 = 235,884 : x
  2. Step 2: Convert to fraction form
    109,329/235,884 = 235,884/x
  3. Step 3: Cross multiply
    109,329x = 235,884 × 235,884
  4. Step 4: Simplify right side
    109,329x = 55,641,261,456
  5. Step 5: Solve for x
    x = 55,641,261,456/109,329
  6. Step 6: Final answer
    x = 508,934.15

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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.