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Finding the Third Proportional to 131,039 and 196,354

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Solution

The third proportional to 131,039 and 196,354 is: 294,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,039 : 196,354 = 196,354 : x
  2. Step 2: Convert to fraction form
    131,039/196,354 = 196,354/x
  3. Step 3: Cross multiply
    131,039x = 196,354 × 196,354
  4. Step 4: Simplify right side
    131,039x = 38,554,893,316
  5. Step 5: Solve for x
    x = 38,554,893,316/131,039
  6. Step 6: Final answer
    x = 294,224.57

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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.