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Finding the Third Proportional to 190,037 and 413,152

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Solution

The third proportional to 190,037 and 413,152 is: 898,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,037 : 413,152 = 413,152 : x
  2. Step 2: Convert to fraction form
    190,037/413,152 = 413,152/x
  3. Step 3: Cross multiply
    190,037x = 413,152 × 413,152
  4. Step 4: Simplify right side
    190,037x = 170,694,575,104
  5. Step 5: Solve for x
    x = 170,694,575,104/190,037
  6. Step 6: Final answer
    x = 898,217.58

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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.