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Finding the Third Proportional to 131,316 and 196,977

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Solution

The third proportional to 131,316 and 196,977 is: 295,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,316 : 196,977 = 196,977 : x
  2. Step 2: Convert to fraction form
    131,316/196,977 = 196,977/x
  3. Step 3: Cross multiply
    131,316x = 196,977 × 196,977
  4. Step 4: Simplify right side
    131,316x = 38,799,938,529
  5. Step 5: Solve for x
    x = 38,799,938,529/131,316
  6. Step 6: Final answer
    x = 295,470.00

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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.