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Finding the Third Proportional to 191,392 and 412,031

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Solution

The third proportional to 191,392 and 412,031 is: 887,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,392 : 412,031 = 412,031 : x
  2. Step 2: Convert to fraction form
    191,392/412,031 = 412,031/x
  3. Step 3: Cross multiply
    191,392x = 412,031 × 412,031
  4. Step 4: Simplify right side
    191,392x = 169,769,544,961
  5. Step 5: Solve for x
    x = 169,769,544,961/191,392
  6. Step 6: Final answer
    x = 887,025.29

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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.