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Finding the Third Proportional to 199,425.94 and 317,120.63

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Solution

The third proportional to 199,425.94 and 317,120.63 is: 504,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,425.94 : 317,120.63 = 317,120.63 : x
  2. Step 2: Convert to fraction form
    199,425.94/317,120.63 = 317,120.63/x
  3. Step 3: Cross multiply
    199,425.94x = 317,120.63 × 317,120.63
  4. Step 4: Simplify right side
    199,425.94x = 100,565,490,800.39
  5. Step 5: Solve for x
    x = 100,565,490,800.39/199,425.94
  6. Step 6: Final answer
    x = 504,274.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.