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Finding the Third Proportional to 190,045 and 412,945

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Solution

The third proportional to 190,045 and 412,945 is: 897,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,045 : 412,945 = 412,945 : x
  2. Step 2: Convert to fraction form
    190,045/412,945 = 412,945/x
  3. Step 3: Cross multiply
    190,045x = 412,945 × 412,945
  4. Step 4: Simplify right side
    190,045x = 170,523,573,025
  5. Step 5: Solve for x
    x = 170,523,573,025/190,045
  6. Step 6: Final answer
    x = 897,279.98

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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.