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Finding the Third Proportional to 113,252 and 237,518

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Solution

The third proportional to 113,252 and 237,518 is: 498,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,252 : 237,518 = 237,518 : x
  2. Step 2: Convert to fraction form
    113,252/237,518 = 237,518/x
  3. Step 3: Cross multiply
    113,252x = 237,518 × 237,518
  4. Step 4: Simplify right side
    113,252x = 56,414,800,324
  5. Step 5: Solve for x
    x = 56,414,800,324/113,252
  6. Step 6: Final answer
    x = 498,135.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.