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Finding the Third Proportional to 110,178 and 238,674

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Solution

The third proportional to 110,178 and 238,674 is: 517,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,178 : 238,674 = 238,674 : x
  2. Step 2: Convert to fraction form
    110,178/238,674 = 238,674/x
  3. Step 3: Cross multiply
    110,178x = 238,674 × 238,674
  4. Step 4: Simplify right side
    110,178x = 56,965,278,276
  5. Step 5: Solve for x
    x = 56,965,278,276/110,178
  6. Step 6: Final answer
    x = 517,029.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.