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Finding the Third Proportional to 167,412.38 and 252,627.94

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Solution

The third proportional to 167,412.38 and 252,627.94 is: 381,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,412.38 : 252,627.94 = 252,627.94 : x
  2. Step 2: Convert to fraction form
    167,412.38/252,627.94 = 252,627.94/x
  3. Step 3: Cross multiply
    167,412.38x = 252,627.94 × 252,627.94
  4. Step 4: Simplify right side
    167,412.38x = 63,820,874,805.50
  5. Step 5: Solve for x
    x = 63,820,874,805.50/167,412.38
  6. Step 6: Final answer
    x = 381,219.58

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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.