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Finding the Third Proportional to 190,040.25 and 413,157.75

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Solution

The third proportional to 190,040.25 and 413,157.75 is: 898,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,040.25 : 413,157.75 = 413,157.75 : x
  2. Step 2: Convert to fraction form
    190,040.25/413,157.75 = 413,157.75/x
  3. Step 3: Cross multiply
    190,040.25x = 413,157.75 × 413,157.75
  4. Step 4: Simplify right side
    190,040.25x = 170,699,326,385.06
  5. Step 5: Solve for x
    x = 170,699,326,385.06/190,040.25
  6. Step 6: Final answer
    x = 898,227.22

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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.