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Finding the Third Proportional to 190,113.75 and 407,214

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Solution

The third proportional to 190,113.75 and 407,214 is: 872,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,113.75 : 407,214 = 407,214 : x
  2. Step 2: Convert to fraction form
    190,113.75/407,214 = 407,214/x
  3. Step 3: Cross multiply
    190,113.75x = 407,214 × 407,214
  4. Step 4: Simplify right side
    190,113.75x = 165,823,241,796
  5. Step 5: Solve for x
    x = 165,823,241,796/190,113.75
  6. Step 6: Final answer
    x = 872,231.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.