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Finding the Third Proportional to 110,505 and 238,617

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Solution

The third proportional to 110,505 and 238,617 is: 515,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,505 : 238,617 = 238,617 : x
  2. Step 2: Convert to fraction form
    110,505/238,617 = 238,617/x
  3. Step 3: Cross multiply
    110,505x = 238,617 × 238,617
  4. Step 4: Simplify right side
    110,505x = 56,938,072,689
  5. Step 5: Solve for x
    x = 56,938,072,689/110,505
  6. Step 6: Final answer
    x = 515,253.36

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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.