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Finding the Third Proportional to 190,818 and 414,441

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Solution

The third proportional to 190,818 and 414,441 is: 900,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,818 : 414,441 = 414,441 : x
  2. Step 2: Convert to fraction form
    190,818/414,441 = 414,441/x
  3. Step 3: Cross multiply
    190,818x = 414,441 × 414,441
  4. Step 4: Simplify right side
    190,818x = 171,761,342,481
  5. Step 5: Solve for x
    x = 171,761,342,481/190,818
  6. Step 6: Final answer
    x = 900,131.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.