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Finding the Third Proportional to 194,553 and 423,179

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Solution

The third proportional to 194,553 and 423,179 is: 920,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,553 : 423,179 = 423,179 : x
  2. Step 2: Convert to fraction form
    194,553/423,179 = 423,179/x
  3. Step 3: Cross multiply
    194,553x = 423,179 × 423,179
  4. Step 4: Simplify right side
    194,553x = 179,080,466,041
  5. Step 5: Solve for x
    x = 179,080,466,041/194,553
  6. Step 6: Final answer
    x = 920,471.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.