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Finding the Third Proportional to 142,899.19 and 304,296.75

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Solution

The third proportional to 142,899.19 and 304,296.75 is: 647,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,899.19 : 304,296.75 = 304,296.75 : x
  2. Step 2: Convert to fraction form
    142,899.19/304,296.75 = 304,296.75/x
  3. Step 3: Cross multiply
    142,899.19x = 304,296.75 × 304,296.75
  4. Step 4: Simplify right side
    142,899.19x = 92,596,512,060.56
  5. Step 5: Solve for x
    x = 92,596,512,060.56/142,899.19
  6. Step 6: Final answer
    x = 647,984.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.