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Finding the Third Proportional to 110,410 and 238,307

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Solution

The third proportional to 110,410 and 238,307 is: 514,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,410 : 238,307 = 238,307 : x
  2. Step 2: Convert to fraction form
    110,410/238,307 = 238,307/x
  3. Step 3: Cross multiply
    110,410x = 238,307 × 238,307
  4. Step 4: Simplify right side
    110,410x = 56,790,226,249
  5. Step 5: Solve for x
    x = 56,790,226,249/110,410
  6. Step 6: Final answer
    x = 514,357.63

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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.