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Finding the Third Proportional to 167,725.69 and 254,253.94

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Solution

The third proportional to 167,725.69 and 254,253.94 is: 385,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,725.69 : 254,253.94 = 254,253.94 : x
  2. Step 2: Convert to fraction form
    167,725.69/254,253.94 = 254,253.94/x
  3. Step 3: Cross multiply
    167,725.69x = 254,253.94 × 254,253.94
  4. Step 4: Simplify right side
    167,725.69x = 64,645,064,734.25
  5. Step 5: Solve for x
    x = 64,645,064,734.25/167,725.69
  6. Step 6: Final answer
    x = 385,421.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.