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Finding the Third Proportional to 194,098 and 294,651

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Solution

The third proportional to 194,098 and 294,651 is: 447,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098 : 294,651 = 294,651 : x
  2. Step 2: Convert to fraction form
    194,098/294,651 = 294,651/x
  3. Step 3: Cross multiply
    194,098x = 294,651 × 294,651
  4. Step 4: Simplify right side
    194,098x = 86,819,211,801
  5. Step 5: Solve for x
    x = 86,819,211,801/194,098
  6. Step 6: Final answer
    x = 447,295.76

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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.