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Finding the Third Proportional to 190,147.50 and 412,785

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Solution

The third proportional to 190,147.50 and 412,785 is: 896,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,147.50 : 412,785 = 412,785 : x
  2. Step 2: Convert to fraction form
    190,147.50/412,785 = 412,785/x
  3. Step 3: Cross multiply
    190,147.50x = 412,785 × 412,785
  4. Step 4: Simplify right side
    190,147.50x = 170,391,456,225
  5. Step 5: Solve for x
    x = 170,391,456,225/190,147.50
  6. Step 6: Final answer
    x = 896,101.48

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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.