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Finding the Third Proportional to 167,309.50 and 254,885

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Solution

The third proportional to 167,309.50 and 254,885 is: 388,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,309.50 : 254,885 = 254,885 : x
  2. Step 2: Convert to fraction form
    167,309.50/254,885 = 254,885/x
  3. Step 3: Cross multiply
    167,309.50x = 254,885 × 254,885
  4. Step 4: Simplify right side
    167,309.50x = 64,966,363,225
  5. Step 5: Solve for x
    x = 64,966,363,225/167,309.50
  6. Step 6: Final answer
    x = 388,300.50

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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.