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Finding the Third Proportional to 110,519 and 236,550

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Solution

The third proportional to 110,519 and 236,550 is: 506,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,519 : 236,550 = 236,550 : x
  2. Step 2: Convert to fraction form
    110,519/236,550 = 236,550/x
  3. Step 3: Cross multiply
    110,519x = 236,550 × 236,550
  4. Step 4: Simplify right side
    110,519x = 55,955,902,500
  5. Step 5: Solve for x
    x = 55,955,902,500/110,519
  6. Step 6: Final answer
    x = 506,301.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.