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Finding the Third Proportional to 202,839.19 and 304,332.19

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Solution

The third proportional to 202,839.19 and 304,332.19 is: 456,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,839.19 : 304,332.19 = 304,332.19 : x
  2. Step 2: Convert to fraction form
    202,839.19/304,332.19 = 304,332.19/x
  3. Step 3: Cross multiply
    202,839.19x = 304,332.19 × 304,332.19
  4. Step 4: Simplify right side
    202,839.19x = 92,618,080,348.54
  5. Step 5: Solve for x
    x = 92,618,080,348.54/202,839.19
  6. Step 6: Final answer
    x = 456,608.42

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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.