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Finding the Third Proportional to 196,472 and 295,854

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Solution

The third proportional to 196,472 and 295,854 is: 445,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,472 : 295,854 = 295,854 : x
  2. Step 2: Convert to fraction form
    196,472/295,854 = 295,854/x
  3. Step 3: Cross multiply
    196,472x = 295,854 × 295,854
  4. Step 4: Simplify right side
    196,472x = 87,529,589,316
  5. Step 5: Solve for x
    x = 87,529,589,316/196,472
  6. Step 6: Final answer
    x = 445,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.