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Finding the Third Proportional to 109,456 and 236,376

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Solution

The third proportional to 109,456 and 236,376 is: 510,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,456 : 236,376 = 236,376 : x
  2. Step 2: Convert to fraction form
    109,456/236,376 = 236,376/x
  3. Step 3: Cross multiply
    109,456x = 236,376 × 236,376
  4. Step 4: Simplify right side
    109,456x = 55,873,613,376
  5. Step 5: Solve for x
    x = 55,873,613,376/109,456
  6. Step 6: Final answer
    x = 510,466.43

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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.