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Finding the Third Proportional to 194,974 and 264,910

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Solution

The third proportional to 194,974 and 264,910 is: 359,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974 : 264,910 = 264,910 : x
  2. Step 2: Convert to fraction form
    194,974/264,910 = 264,910/x
  3. Step 3: Cross multiply
    194,974x = 264,910 × 264,910
  4. Step 4: Simplify right side
    194,974x = 70,177,308,100
  5. Step 5: Solve for x
    x = 70,177,308,100/194,974
  6. Step 6: Final answer
    x = 359,931.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.