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Finding the Third Proportional to 194,072 and 294,612

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Solution

The third proportional to 194,072 and 294,612 is: 447,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,072 : 294,612 = 294,612 : x
  2. Step 2: Convert to fraction form
    194,072/294,612 = 294,612/x
  3. Step 3: Cross multiply
    194,072x = 294,612 × 294,612
  4. Step 4: Simplify right side
    194,072x = 86,796,230,544
  5. Step 5: Solve for x
    x = 86,796,230,544/194,072
  6. Step 6: Final answer
    x = 447,237.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.