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Finding the Third Proportional to 109,475 and 236,041

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Solution

The third proportional to 109,475 and 236,041 is: 508,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475 : 236,041 = 236,041 : x
  2. Step 2: Convert to fraction form
    109,475/236,041 = 236,041/x
  3. Step 3: Cross multiply
    109,475x = 236,041 × 236,041
  4. Step 4: Simplify right side
    109,475x = 55,715,353,681
  5. Step 5: Solve for x
    x = 55,715,353,681/109,475
  6. Step 6: Final answer
    x = 508,932.21

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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.