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Finding the Third Proportional to 194,655 and 261,909

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Solution

The third proportional to 194,655 and 261,909 is: 352,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,655 : 261,909 = 261,909 : x
  2. Step 2: Convert to fraction form
    194,655/261,909 = 261,909/x
  3. Step 3: Cross multiply
    194,655x = 261,909 × 261,909
  4. Step 4: Simplify right side
    194,655x = 68,596,324,281
  5. Step 5: Solve for x
    x = 68,596,324,281/194,655
  6. Step 6: Final answer
    x = 352,399.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.