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Finding the Third Proportional to 194,238 and 262,419.75

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Solution

The third proportional to 194,238 and 262,419.75 is: 354,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,238 : 262,419.75 = 262,419.75 : x
  2. Step 2: Convert to fraction form
    194,238/262,419.75 = 262,419.75/x
  3. Step 3: Cross multiply
    194,238x = 262,419.75 × 262,419.75
  4. Step 4: Simplify right side
    194,238x = 68,864,125,190.06
  5. Step 5: Solve for x
    x = 68,864,125,190.06/194,238
  6. Step 6: Final answer
    x = 354,534.77

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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.