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Finding the Third Proportional to 113,409.50 and 247,231

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Solution

The third proportional to 113,409.50 and 247,231 is: 538,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,409.50 : 247,231 = 247,231 : x
  2. Step 2: Convert to fraction form
    113,409.50/247,231 = 247,231/x
  3. Step 3: Cross multiply
    113,409.50x = 247,231 × 247,231
  4. Step 4: Simplify right side
    113,409.50x = 61,123,167,361
  5. Step 5: Solve for x
    x = 61,123,167,361/113,409.50
  6. Step 6: Final answer
    x = 538,959.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.