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Finding the Third Proportional to 166,822.50 and 362,745

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Solution

The third proportional to 166,822.50 and 362,745 is: 788,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,822.50 : 362,745 = 362,745 : x
  2. Step 2: Convert to fraction form
    166,822.50/362,745 = 362,745/x
  3. Step 3: Cross multiply
    166,822.50x = 362,745 × 362,745
  4. Step 4: Simplify right side
    166,822.50x = 131,583,935,025
  5. Step 5: Solve for x
    x = 131,583,935,025/166,822.50
  6. Step 6: Final answer
    x = 788,766.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.