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Finding the Third Proportional to 110,912 and 238,411

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Solution

The third proportional to 110,912 and 238,411 is: 512,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,912 : 238,411 = 238,411 : x
  2. Step 2: Convert to fraction form
    110,912/238,411 = 238,411/x
  3. Step 3: Cross multiply
    110,912x = 238,411 × 238,411
  4. Step 4: Simplify right side
    110,912x = 56,839,804,921
  5. Step 5: Solve for x
    x = 56,839,804,921/110,912
  6. Step 6: Final answer
    x = 512,476.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.