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Finding the Third Proportional to 84,311 and 183,495.50

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Solution

The third proportional to 84,311 and 183,495.50 is: 399,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311 : 183,495.50 = 183,495.50 : x
  2. Step 2: Convert to fraction form
    84,311/183,495.50 = 183,495.50/x
  3. Step 3: Cross multiply
    84,311x = 183,495.50 × 183,495.50
  4. Step 4: Simplify right side
    84,311x = 33,670,598,520.25
  5. Step 5: Solve for x
    x = 33,670,598,520.25/84,311
  6. Step 6: Final answer
    x = 399,361.87

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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.