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Finding the Third Proportional to 190,683.75 and 414,171

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Solution

The third proportional to 190,683.75 and 414,171 is: 899,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,683.75 : 414,171 = 414,171 : x
  2. Step 2: Convert to fraction form
    190,683.75/414,171 = 414,171/x
  3. Step 3: Cross multiply
    190,683.75x = 414,171 × 414,171
  4. Step 4: Simplify right side
    190,683.75x = 171,537,617,241
  5. Step 5: Solve for x
    x = 171,537,617,241/190,683.75
  6. Step 6: Final answer
    x = 899,592.22

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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.