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Finding the Third Proportional to 197,975 and 433,364

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Solution

The third proportional to 197,975 and 433,364 is: 948,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,975 : 433,364 = 433,364 : x
  2. Step 2: Convert to fraction form
    197,975/433,364 = 433,364/x
  3. Step 3: Cross multiply
    197,975x = 433,364 × 433,364
  4. Step 4: Simplify right side
    197,975x = 187,804,356,496
  5. Step 5: Solve for x
    x = 187,804,356,496/197,975
  6. Step 6: Final answer
    x = 948,626.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.