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Finding the Third Proportional to 130,034 and 194,524

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Solution

The third proportional to 130,034 and 194,524 is: 290,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,034 : 194,524 = 194,524 : x
  2. Step 2: Convert to fraction form
    130,034/194,524 = 194,524/x
  3. Step 3: Cross multiply
    130,034x = 194,524 × 194,524
  4. Step 4: Simplify right side
    130,034x = 37,839,586,576
  5. Step 5: Solve for x
    x = 37,839,586,576/130,034
  6. Step 6: Final answer
    x = 290,997.64

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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.