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Finding the Third Proportional to 190,117.75 and 417,414.25

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Solution

The third proportional to 190,117.75 and 417,414.25 is: 916,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,117.75 : 417,414.25 = 417,414.25 : x
  2. Step 2: Convert to fraction form
    190,117.75/417,414.25 = 417,414.25/x
  3. Step 3: Cross multiply
    190,117.75x = 417,414.25 × 417,414.25
  4. Step 4: Simplify right side
    190,117.75x = 174,234,656,103.06
  5. Step 5: Solve for x
    x = 174,234,656,103.06/190,117.75
  6. Step 6: Final answer
    x = 916,456.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.