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Finding the Third Proportional to 190,092.66 and 294,238.55

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Solution

The third proportional to 190,092.66 and 294,238.55 is: 455,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,092.66 : 294,238.55 = 294,238.55 : x
  2. Step 2: Convert to fraction form
    190,092.66/294,238.55 = 294,238.55/x
  3. Step 3: Cross multiply
    190,092.66x = 294,238.55 × 294,238.55
  4. Step 4: Simplify right side
    190,092.66x = 86,576,322,467.11
  5. Step 5: Solve for x
    x = 86,576,322,467.11/190,092.66
  6. Step 6: Final answer
    x = 455,442.75

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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.