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Finding the Third Proportional to 194,744 and 425,536

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Solution

The third proportional to 194,744 and 425,536 is: 929,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744 : 425,536 = 425,536 : x
  2. Step 2: Convert to fraction form
    194,744/425,536 = 425,536/x
  3. Step 3: Cross multiply
    194,744x = 425,536 × 425,536
  4. Step 4: Simplify right side
    194,744x = 181,080,887,296
  5. Step 5: Solve for x
    x = 181,080,887,296/194,744
  6. Step 6: Final answer
    x = 929,840.65

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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.