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Finding the Third Proportional to 109,512 and 236,412

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Solution

The third proportional to 109,512 and 236,412 is: 510,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512 : 236,412 = 236,412 : x
  2. Step 2: Convert to fraction form
    109,512/236,412 = 236,412/x
  3. Step 3: Cross multiply
    109,512x = 236,412 × 236,412
  4. Step 4: Simplify right side
    109,512x = 55,890,633,744
  5. Step 5: Solve for x
    x = 55,890,633,744/109,512
  6. Step 6: Final answer
    x = 510,360.82

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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.