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Finding the Third Proportional to 194,566 and 426,037

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Solution

The third proportional to 194,566 and 426,037 is: 932,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,566 : 426,037 = 426,037 : x
  2. Step 2: Convert to fraction form
    194,566/426,037 = 426,037/x
  3. Step 3: Cross multiply
    194,566x = 426,037 × 426,037
  4. Step 4: Simplify right side
    194,566x = 181,507,525,369
  5. Step 5: Solve for x
    x = 181,507,525,369/194,566
  6. Step 6: Final answer
    x = 932,884.09

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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.