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Finding the Third Proportional to 167,139 and 251,503.50

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Solution

The third proportional to 167,139 and 251,503.50 is: 378,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,139 : 251,503.50 = 251,503.50 : x
  2. Step 2: Convert to fraction form
    167,139/251,503.50 = 251,503.50/x
  3. Step 3: Cross multiply
    167,139x = 251,503.50 × 251,503.50
  4. Step 4: Simplify right side
    167,139x = 63,254,010,512.25
  5. Step 5: Solve for x
    x = 63,254,010,512.25/167,139
  6. Step 6: Final answer
    x = 378,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.