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Finding the Third Proportional to 110,837 and 237,427

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Solution

The third proportional to 110,837 and 237,427 is: 508,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,837 : 237,427 = 237,427 : x
  2. Step 2: Convert to fraction form
    110,837/237,427 = 237,427/x
  3. Step 3: Cross multiply
    110,837x = 237,427 × 237,427
  4. Step 4: Simplify right side
    110,837x = 56,371,580,329
  5. Step 5: Solve for x
    x = 56,371,580,329/110,837
  6. Step 6: Final answer
    x = 508,598.94

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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.