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Finding the Third Proportional to 202,646 and 304,077

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Solution

The third proportional to 202,646 and 304,077 is: 456,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646 : 304,077 = 304,077 : x
  2. Step 2: Convert to fraction form
    202,646/304,077 = 304,077/x
  3. Step 3: Cross multiply
    202,646x = 304,077 × 304,077
  4. Step 4: Simplify right side
    202,646x = 92,462,821,929
  5. Step 5: Solve for x
    x = 92,462,821,929/202,646
  6. Step 6: Final answer
    x = 456,277.56

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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.