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Finding the Third Proportional to 166,326.75 and 254,479.50

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Solution

The third proportional to 166,326.75 and 254,479.50 is: 389,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,326.75 : 254,479.50 = 254,479.50 : x
  2. Step 2: Convert to fraction form
    166,326.75/254,479.50 = 254,479.50/x
  3. Step 3: Cross multiply
    166,326.75x = 254,479.50 × 254,479.50
  4. Step 4: Simplify right side
    166,326.75x = 64,759,815,920.25
  5. Step 5: Solve for x
    x = 64,759,815,920.25/166,326.75
  6. Step 6: Final answer
    x = 389,352.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.