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Finding the Third Proportional to 110,455 and 238,554

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Solution

The third proportional to 110,455 and 238,554 is: 515,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,455 : 238,554 = 238,554 : x
  2. Step 2: Convert to fraction form
    110,455/238,554 = 238,554/x
  3. Step 3: Cross multiply
    110,455x = 238,554 × 238,554
  4. Step 4: Simplify right side
    110,455x = 56,908,010,916
  5. Step 5: Solve for x
    x = 56,908,010,916/110,455
  6. Step 6: Final answer
    x = 515,214.44

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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.