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Finding the Third Proportional to 190,120 and 413,083

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Solution

The third proportional to 190,120 and 413,083 is: 897,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,120 : 413,083 = 413,083 : x
  2. Step 2: Convert to fraction form
    190,120/413,083 = 413,083/x
  3. Step 3: Cross multiply
    190,120x = 413,083 × 413,083
  4. Step 4: Simplify right side
    190,120x = 170,637,564,889
  5. Step 5: Solve for x
    x = 170,637,564,889/190,120
  6. Step 6: Final answer
    x = 897,525.59

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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.