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Finding the Third Proportional to 109,444 and 236,996

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Solution

The third proportional to 109,444 and 236,996 is: 513,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,444 : 236,996 = 236,996 : x
  2. Step 2: Convert to fraction form
    109,444/236,996 = 236,996/x
  3. Step 3: Cross multiply
    109,444x = 236,996 × 236,996
  4. Step 4: Simplify right side
    109,444x = 56,167,104,016
  5. Step 5: Solve for x
    x = 56,167,104,016/109,444
  6. Step 6: Final answer
    x = 513,204.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.