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Finding the Third Proportional to 130,012 and 194,477

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Solution

The third proportional to 130,012 and 194,477 is: 290,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,012 : 194,477 = 194,477 : x
  2. Step 2: Convert to fraction form
    130,012/194,477 = 194,477/x
  3. Step 3: Cross multiply
    130,012x = 194,477 × 194,477
  4. Step 4: Simplify right side
    130,012x = 37,821,303,529
  5. Step 5: Solve for x
    x = 37,821,303,529/130,012
  6. Step 6: Final answer
    x = 290,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.