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Finding the Third Proportional to 194,186 and 262,357

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Solution

The third proportional to 194,186 and 262,357 is: 354,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,186 : 262,357 = 262,357 : x
  2. Step 2: Convert to fraction form
    194,186/262,357 = 262,357/x
  3. Step 3: Cross multiply
    194,186x = 262,357 × 262,357
  4. Step 4: Simplify right side
    194,186x = 68,831,195,449
  5. Step 5: Solve for x
    x = 68,831,195,449/194,186
  6. Step 6: Final answer
    x = 354,460.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.