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Finding the Third Proportional to 110,392 and 238,279

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Solution

The third proportional to 110,392 and 238,279 is: 514,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,392 : 238,279 = 238,279 : x
  2. Step 2: Convert to fraction form
    110,392/238,279 = 238,279/x
  3. Step 3: Cross multiply
    110,392x = 238,279 × 238,279
  4. Step 4: Simplify right side
    110,392x = 56,776,881,841
  5. Step 5: Solve for x
    x = 56,776,881,841/110,392
  6. Step 6: Final answer
    x = 514,320.62

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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.