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Finding the Third Proportional to 196,962.75 and 295,372.13

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Solution

The third proportional to 196,962.75 and 295,372.13 is: 442,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,962.75 : 295,372.13 = 295,372.13 : x
  2. Step 2: Convert to fraction form
    196,962.75/295,372.13 = 295,372.13/x
  3. Step 3: Cross multiply
    196,962.75x = 295,372.13 × 295,372.13
  4. Step 4: Simplify right side
    196,962.75x = 87,244,692,227.02
  5. Step 5: Solve for x
    x = 87,244,692,227.02/196,962.75
  6. Step 6: Final answer
    x = 442,950.21

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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.