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Finding the Third Proportional to 194,437 and 426,249

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Solution

The third proportional to 194,437 and 426,249 is: 934,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,437 : 426,249 = 426,249 : x
  2. Step 2: Convert to fraction form
    194,437/426,249 = 426,249/x
  3. Step 3: Cross multiply
    194,437x = 426,249 × 426,249
  4. Step 4: Simplify right side
    194,437x = 181,688,210,001
  5. Step 5: Solve for x
    x = 181,688,210,001/194,437
  6. Step 6: Final answer
    x = 934,432.28

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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.