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Finding the Third Proportional to 196,657 and 298,610

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Solution

The third proportional to 196,657 and 298,610 is: 453,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,657 : 298,610 = 298,610 : x
  2. Step 2: Convert to fraction form
    196,657/298,610 = 298,610/x
  3. Step 3: Cross multiply
    196,657x = 298,610 × 298,610
  4. Step 4: Simplify right side
    196,657x = 89,167,932,100
  5. Step 5: Solve for x
    x = 89,167,932,100/196,657
  6. Step 6: Final answer
    x = 453,418.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.