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Finding the Third Proportional to 190,239 and 294,977

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Solution

The third proportional to 190,239 and 294,977 is: 457,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,239 : 294,977 = 294,977 : x
  2. Step 2: Convert to fraction form
    190,239/294,977 = 294,977/x
  3. Step 3: Cross multiply
    190,239x = 294,977 × 294,977
  4. Step 4: Simplify right side
    190,239x = 87,011,430,529
  5. Step 5: Solve for x
    x = 87,011,430,529/190,239
  6. Step 6: Final answer
    x = 457,379.56

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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.