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Finding the Third Proportional to 190,084.50 and 415,217.25

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Solution

The third proportional to 190,084.50 and 415,217.25 is: 906,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,084.50 : 415,217.25 = 415,217.25 : x
  2. Step 2: Convert to fraction form
    190,084.50/415,217.25 = 415,217.25/x
  3. Step 3: Cross multiply
    190,084.50x = 415,217.25 × 415,217.25
  4. Step 4: Simplify right side
    190,084.50x = 172,405,364,697.56
  5. Step 5: Solve for x
    x = 172,405,364,697.56/190,084.50
  6. Step 6: Final answer
    x = 906,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.