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Finding the Third Proportional to 190,584.14 and 254,077.59

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Solution

The third proportional to 190,584.14 and 254,077.59 is: 338,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584.14 : 254,077.59 = 254,077.59 : x
  2. Step 2: Convert to fraction form
    190,584.14/254,077.59 = 254,077.59/x
  3. Step 3: Cross multiply
    190,584.14x = 254,077.59 × 254,077.59
  4. Step 4: Simplify right side
    190,584.14x = 64,555,423,645.79
  5. Step 5: Solve for x
    x = 64,555,423,645.79/190,584.14
  6. Step 6: Final answer
    x = 338,724.01

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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.