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Finding the Third Proportional to 190,654.50 and 407,481

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Solution

The third proportional to 190,654.50 and 407,481 is: 870,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,654.50 : 407,481 = 407,481 : x
  2. Step 2: Convert to fraction form
    190,654.50/407,481 = 407,481/x
  3. Step 3: Cross multiply
    190,654.50x = 407,481 × 407,481
  4. Step 4: Simplify right side
    190,654.50x = 166,040,765,361
  5. Step 5: Solve for x
    x = 166,040,765,361/190,654.50
  6. Step 6: Final answer
    x = 870,898.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.