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Finding the Third Proportional to 167,766.61 and 254,093.20

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Solution

The third proportional to 167,766.61 and 254,093.20 is: 384,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,766.61 : 254,093.20 = 254,093.20 : x
  2. Step 2: Convert to fraction form
    167,766.61/254,093.20 = 254,093.20/x
  3. Step 3: Cross multiply
    167,766.61x = 254,093.20 × 254,093.20
  4. Step 4: Simplify right side
    167,766.61x = 64,563,355,874.32
  5. Step 5: Solve for x
    x = 64,563,355,874.32/167,766.61
  6. Step 6: Final answer
    x = 384,840.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.