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Finding the Third Proportional to 167,842.50 and 256,147.50

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Solution

The third proportional to 167,842.50 and 256,147.50 is: 390,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,842.50 : 256,147.50 = 256,147.50 : x
  2. Step 2: Convert to fraction form
    167,842.50/256,147.50 = 256,147.50/x
  3. Step 3: Cross multiply
    167,842.50x = 256,147.50 × 256,147.50
  4. Step 4: Simplify right side
    167,842.50x = 65,611,541,756.25
  5. Step 5: Solve for x
    x = 65,611,541,756.25/167,842.50
  6. Step 6: Final answer
    x = 390,911.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.