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Finding the Third Proportional to 109,652 and 240,245

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Solution

The third proportional to 109,652 and 240,245 is: 526,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,652 : 240,245 = 240,245 : x
  2. Step 2: Convert to fraction form
    109,652/240,245 = 240,245/x
  3. Step 3: Cross multiply
    109,652x = 240,245 × 240,245
  4. Step 4: Simplify right side
    109,652x = 57,717,660,025
  5. Step 5: Solve for x
    x = 57,717,660,025/109,652
  6. Step 6: Final answer
    x = 526,371.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.