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Finding the Third Proportional to 196,989 and 301,202

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Solution

The third proportional to 196,989 and 301,202 is: 460,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,989 : 301,202 = 301,202 : x
  2. Step 2: Convert to fraction form
    196,989/301,202 = 301,202/x
  3. Step 3: Cross multiply
    196,989x = 301,202 × 301,202
  4. Step 4: Simplify right side
    196,989x = 90,722,644,804
  5. Step 5: Solve for x
    x = 90,722,644,804/196,989
  6. Step 6: Final answer
    x = 460,546.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.