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Finding the Third Proportional to 194,769 and 422,752

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Solution

The third proportional to 194,769 and 422,752 is: 917,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769 : 422,752 = 422,752 : x
  2. Step 2: Convert to fraction form
    194,769/422,752 = 422,752/x
  3. Step 3: Cross multiply
    194,769x = 422,752 × 422,752
  4. Step 4: Simplify right side
    194,769x = 178,719,253,504
  5. Step 5: Solve for x
    x = 178,719,253,504/194,769
  6. Step 6: Final answer
    x = 917,595.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.