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Finding the Third Proportional to 190,041 and 413,160

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Solution

The third proportional to 190,041 and 413,160 is: 898,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,041 : 413,160 = 413,160 : x
  2. Step 2: Convert to fraction form
    190,041/413,160 = 413,160/x
  3. Step 3: Cross multiply
    190,041x = 413,160 × 413,160
  4. Step 4: Simplify right side
    190,041x = 170,701,185,600
  5. Step 5: Solve for x
    x = 170,701,185,600/190,041
  6. Step 6: Final answer
    x = 898,233.46

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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.