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Finding the Third Proportional to 190,735 and 414,243

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Solution

The third proportional to 190,735 and 414,243 is: 899,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,735 : 414,243 = 414,243 : x
  2. Step 2: Convert to fraction form
    190,735/414,243 = 414,243/x
  3. Step 3: Cross multiply
    190,735x = 414,243 × 414,243
  4. Step 4: Simplify right side
    190,735x = 171,597,263,049
  5. Step 5: Solve for x
    x = 171,597,263,049/190,735
  6. Step 6: Final answer
    x = 899,663.21

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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.