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Finding the Third Proportional to 110,418 and 238,323

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Solution

The third proportional to 110,418 and 238,323 is: 514,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,418 : 238,323 = 238,323 : x
  2. Step 2: Convert to fraction form
    110,418/238,323 = 238,323/x
  3. Step 3: Cross multiply
    110,418x = 238,323 × 238,323
  4. Step 4: Simplify right side
    110,418x = 56,797,852,329
  5. Step 5: Solve for x
    x = 56,797,852,329/110,418
  6. Step 6: Final answer
    x = 514,389.43

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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.