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Finding the Third Proportional to 109,513 and 235,395

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Solution

The third proportional to 109,513 and 235,395 is: 505,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513 : 235,395 = 235,395 : x
  2. Step 2: Convert to fraction form
    109,513/235,395 = 235,395/x
  3. Step 3: Cross multiply
    109,513x = 235,395 × 235,395
  4. Step 4: Simplify right side
    109,513x = 55,410,806,025
  5. Step 5: Solve for x
    x = 55,410,806,025/109,513
  6. Step 6: Final answer
    x = 505,974.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.