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Finding the Third Proportional to 110,414 and 238,466

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Solution

The third proportional to 110,414 and 238,466 is: 515,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414 : 238,466 = 238,466 : x
  2. Step 2: Convert to fraction form
    110,414/238,466 = 238,466/x
  3. Step 3: Cross multiply
    110,414x = 238,466 × 238,466
  4. Step 4: Simplify right side
    110,414x = 56,866,033,156
  5. Step 5: Solve for x
    x = 56,866,033,156/110,414
  6. Step 6: Final answer
    x = 515,025.57

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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.