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Finding the Third Proportional to 190,018 and 410,167

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Solution

The third proportional to 190,018 and 410,167 is: 885,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,018 : 410,167 = 410,167 : x
  2. Step 2: Convert to fraction form
    190,018/410,167 = 410,167/x
  3. Step 3: Cross multiply
    190,018x = 410,167 × 410,167
  4. Step 4: Simplify right side
    190,018x = 168,236,967,889
  5. Step 5: Solve for x
    x = 168,236,967,889/190,018
  6. Step 6: Final answer
    x = 885,373.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.