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Finding the Third Proportional to 190,238.63 and 294,975.42

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Solution

The third proportional to 190,238.63 and 294,975.42 is: 457,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238.63 : 294,975.42 = 294,975.42 : x
  2. Step 2: Convert to fraction form
    190,238.63/294,975.42 = 294,975.42/x
  3. Step 3: Cross multiply
    190,238.63x = 294,975.42 × 294,975.42
  4. Step 4: Simplify right side
    190,238.63x = 87,010,499,510.33
  5. Step 5: Solve for x
    x = 87,010,499,510.33/190,238.63
  6. Step 6: Final answer
    x = 457,375.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.