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Finding the Third Proportional to 167,530.50 and 255,244.50

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Solution

The third proportional to 167,530.50 and 255,244.50 is: 388,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530.50 : 255,244.50 = 255,244.50 : x
  2. Step 2: Convert to fraction form
    167,530.50/255,244.50 = 255,244.50/x
  3. Step 3: Cross multiply
    167,530.50x = 255,244.50 × 255,244.50
  4. Step 4: Simplify right side
    167,530.50x = 65,149,754,780.25
  5. Step 5: Solve for x
    x = 65,149,754,780.25/167,530.50
  6. Step 6: Final answer
    x = 388,882.95

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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.