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Finding the Third Proportional to 84,635.50 and 180,237

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Solution

The third proportional to 84,635.50 and 180,237 is: 383,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,635.50 : 180,237 = 180,237 : x
  2. Step 2: Convert to fraction form
    84,635.50/180,237 = 180,237/x
  3. Step 3: Cross multiply
    84,635.50x = 180,237 × 180,237
  4. Step 4: Simplify right side
    84,635.50x = 32,485,376,169
  5. Step 5: Solve for x
    x = 32,485,376,169/84,635.50
  6. Step 6: Final answer
    x = 383,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.