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Finding the Third Proportional to 194,746 and 294,226

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Solution

The third proportional to 194,746 and 294,226 is: 444,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,746 : 294,226 = 294,226 : x
  2. Step 2: Convert to fraction form
    194,746/294,226 = 294,226/x
  3. Step 3: Cross multiply
    194,746x = 294,226 × 294,226
  4. Step 4: Simplify right side
    194,746x = 86,568,939,076
  5. Step 5: Solve for x
    x = 86,568,939,076/194,746
  6. Step 6: Final answer
    x = 444,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.