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Finding the Third Proportional to 196,955 and 295,357

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Solution

The third proportional to 196,955 and 295,357 is: 442,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,955 : 295,357 = 295,357 : x
  2. Step 2: Convert to fraction form
    196,955/295,357 = 295,357/x
  3. Step 3: Cross multiply
    196,955x = 295,357 × 295,357
  4. Step 4: Simplify right side
    196,955x = 87,235,757,449
  5. Step 5: Solve for x
    x = 87,235,757,449/196,955
  6. Step 6: Final answer
    x = 442,922.28

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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.