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Finding the Third Proportional to 192,264.75 and 420,714

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Solution

The third proportional to 192,264.75 and 420,714 is: 920,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,264.75 : 420,714 = 420,714 : x
  2. Step 2: Convert to fraction form
    192,264.75/420,714 = 420,714/x
  3. Step 3: Cross multiply
    192,264.75x = 420,714 × 420,714
  4. Step 4: Simplify right side
    192,264.75x = 177,000,269,796
  5. Step 5: Solve for x
    x = 177,000,269,796/192,264.75
  6. Step 6: Final answer
    x = 920,606.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.