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Finding the Third Proportional to 167,445 and 251,707.50

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Solution

The third proportional to 167,445 and 251,707.50 is: 378,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,445 : 251,707.50 = 251,707.50 : x
  2. Step 2: Convert to fraction form
    167,445/251,707.50 = 251,707.50/x
  3. Step 3: Cross multiply
    167,445x = 251,707.50 × 251,707.50
  4. Step 4: Simplify right side
    167,445x = 63,356,665,556.25
  5. Step 5: Solve for x
    x = 63,356,665,556.25/167,445
  6. Step 6: Final answer
    x = 378,372.99

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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.