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Finding the Third Proportional to 110,826 and 237,532

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Solution

The third proportional to 110,826 and 237,532 is: 509,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,826 : 237,532 = 237,532 : x
  2. Step 2: Convert to fraction form
    110,826/237,532 = 237,532/x
  3. Step 3: Cross multiply
    110,826x = 237,532 × 237,532
  4. Step 4: Simplify right side
    110,826x = 56,421,451,024
  5. Step 5: Solve for x
    x = 56,421,451,024/110,826
  6. Step 6: Final answer
    x = 509,099.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.