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Finding the Third Proportional to 118,353 and 166,471.50

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Solution

The third proportional to 118,353 and 166,471.50 is: 234,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,353 : 166,471.50 = 166,471.50 : x
  2. Step 2: Convert to fraction form
    118,353/166,471.50 = 166,471.50/x
  3. Step 3: Cross multiply
    118,353x = 166,471.50 × 166,471.50
  4. Step 4: Simplify right side
    118,353x = 27,712,760,312.25
  5. Step 5: Solve for x
    x = 27,712,760,312.25/118,353
  6. Step 6: Final answer
    x = 234,153.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.