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Finding the Third Proportional to 190,586.50 and 254,080.50

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Solution

The third proportional to 190,586.50 and 254,080.50 is: 338,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,586.50 : 254,080.50 = 254,080.50 : x
  2. Step 2: Convert to fraction form
    190,586.50/254,080.50 = 254,080.50/x
  3. Step 3: Cross multiply
    190,586.50x = 254,080.50 × 254,080.50
  4. Step 4: Simplify right side
    190,586.50x = 64,556,900,480.25
  5. Step 5: Solve for x
    x = 64,556,900,480.25/190,586.50
  6. Step 6: Final answer
    x = 338,727.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.