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Finding the Third Proportional to 196,984 and 295,416

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Solution

The third proportional to 196,984 and 295,416 is: 443,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,984 : 295,416 = 295,416 : x
  2. Step 2: Convert to fraction form
    196,984/295,416 = 295,416/x
  3. Step 3: Cross multiply
    196,984x = 295,416 × 295,416
  4. Step 4: Simplify right side
    196,984x = 87,270,613,056
  5. Step 5: Solve for x
    x = 87,270,613,056/196,984
  6. Step 6: Final answer
    x = 443,034.02

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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.