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Finding the Third Proportional to 190,086.75 and 413,024.06

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Solution

The third proportional to 190,086.75 and 413,024.06 is: 897,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,086.75 : 413,024.06 = 413,024.06 : x
  2. Step 2: Convert to fraction form
    190,086.75/413,024.06 = 413,024.06/x
  3. Step 3: Cross multiply
    190,086.75x = 413,024.06 × 413,024.06
  4. Step 4: Simplify right side
    190,086.75x = 170,588,876,204.00
  5. Step 5: Solve for x
    x = 170,588,876,204.00/190,086.75
  6. Step 6: Final answer
    x = 897,426.44

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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.