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Finding the Third Proportional to 110,646 and 238,788

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Solution

The third proportional to 110,646 and 238,788 is: 515,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,646 : 238,788 = 238,788 : x
  2. Step 2: Convert to fraction form
    110,646/238,788 = 238,788/x
  3. Step 3: Cross multiply
    110,646x = 238,788 × 238,788
  4. Step 4: Simplify right side
    110,646x = 57,019,708,944
  5. Step 5: Solve for x
    x = 57,019,708,944/110,646
  6. Step 6: Final answer
    x = 515,334.57

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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.