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Finding the Third Proportional to 113,076 and 243,324

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Solution

The third proportional to 113,076 and 243,324 is: 523,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 243,324 = 243,324 : x
  2. Step 2: Convert to fraction form
    113,076/243,324 = 243,324/x
  3. Step 3: Cross multiply
    113,076x = 243,324 × 243,324
  4. Step 4: Simplify right side
    113,076x = 59,206,568,976
  5. Step 5: Solve for x
    x = 59,206,568,976/113,076
  6. Step 6: Final answer
    x = 523,599.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.