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Finding the Third Proportional to 190,027.50 and 412,911

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Solution

The third proportional to 190,027.50 and 412,911 is: 897,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,027.50 : 412,911 = 412,911 : x
  2. Step 2: Convert to fraction form
    190,027.50/412,911 = 412,911/x
  3. Step 3: Cross multiply
    190,027.50x = 412,911 × 412,911
  4. Step 4: Simplify right side
    190,027.50x = 170,495,493,921
  5. Step 5: Solve for x
    x = 170,495,493,921/190,027.50
  6. Step 6: Final answer
    x = 897,214.84

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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.