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Finding the Third Proportional to 196,886 and 302,997

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Solution

The third proportional to 196,886 and 302,997 is: 466,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,886 : 302,997 = 302,997 : x
  2. Step 2: Convert to fraction form
    196,886/302,997 = 302,997/x
  3. Step 3: Cross multiply
    196,886x = 302,997 × 302,997
  4. Step 4: Simplify right side
    196,886x = 91,807,182,009
  5. Step 5: Solve for x
    x = 91,807,182,009/196,886
  6. Step 6: Final answer
    x = 466,296.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.