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Finding the Third Proportional to 190,026 and 409,212

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Solution

The third proportional to 190,026 and 409,212 is: 881,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,026 : 409,212 = 409,212 : x
  2. Step 2: Convert to fraction form
    190,026/409,212 = 409,212/x
  3. Step 3: Cross multiply
    190,026x = 409,212 × 409,212
  4. Step 4: Simplify right side
    190,026x = 167,454,460,944
  5. Step 5: Solve for x
    x = 167,454,460,944/190,026
  6. Step 6: Final answer
    x = 881,218.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.