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Finding the Third Proportional to 109,623 and 239,538

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Solution

The third proportional to 109,623 and 239,538 is: 523,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,623 : 239,538 = 239,538 : x
  2. Step 2: Convert to fraction form
    109,623/239,538 = 239,538/x
  3. Step 3: Cross multiply
    109,623x = 239,538 × 239,538
  4. Step 4: Simplify right side
    109,623x = 57,378,453,444
  5. Step 5: Solve for x
    x = 57,378,453,444/109,623
  6. Step 6: Final answer
    x = 523,416.19

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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.