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Finding the Third Proportional to 190,239 and 294,976

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Solution

The third proportional to 190,239 and 294,976 is: 457,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,239 : 294,976 = 294,976 : x
  2. Step 2: Convert to fraction form
    190,239/294,976 = 294,976/x
  3. Step 3: Cross multiply
    190,239x = 294,976 × 294,976
  4. Step 4: Simplify right side
    190,239x = 87,010,840,576
  5. Step 5: Solve for x
    x = 87,010,840,576/190,239
  6. Step 6: Final answer
    x = 457,376.46

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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.