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Finding the Third Proportional to 196,960 and 295,360

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Solution

The third proportional to 196,960 and 295,360 is: 442,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,960 : 295,360 = 295,360 : x
  2. Step 2: Convert to fraction form
    196,960/295,360 = 295,360/x
  3. Step 3: Cross multiply
    196,960x = 295,360 × 295,360
  4. Step 4: Simplify right side
    196,960x = 87,237,529,600
  5. Step 5: Solve for x
    x = 87,237,529,600/196,960
  6. Step 6: Final answer
    x = 442,920.03

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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.