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Finding the Third Proportional to 110,536 and 238,352

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Solution

The third proportional to 110,536 and 238,352 is: 513,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536 : 238,352 = 238,352 : x
  2. Step 2: Convert to fraction form
    110,536/238,352 = 238,352/x
  3. Step 3: Cross multiply
    110,536x = 238,352 × 238,352
  4. Step 4: Simplify right side
    110,536x = 56,811,675,904
  5. Step 5: Solve for x
    x = 56,811,675,904/110,536
  6. Step 6: Final answer
    x = 513,965.37

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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.