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Finding the Third Proportional to 202,976 and 304,500

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Solution

The third proportional to 202,976 and 304,500 is: 456,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,976 : 304,500 = 304,500 : x
  2. Step 2: Convert to fraction form
    202,976/304,500 = 304,500/x
  3. Step 3: Cross multiply
    202,976x = 304,500 × 304,500
  4. Step 4: Simplify right side
    202,976x = 92,720,250,000
  5. Step 5: Solve for x
    x = 92,720,250,000/202,976
  6. Step 6: Final answer
    x = 456,804.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.