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Finding the Third Proportional to 154,536.75 and 318,966.75

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Solution

The third proportional to 154,536.75 and 318,966.75 is: 658,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,536.75 : 318,966.75 = 318,966.75 : x
  2. Step 2: Convert to fraction form
    154,536.75/318,966.75 = 318,966.75/x
  3. Step 3: Cross multiply
    154,536.75x = 318,966.75 × 318,966.75
  4. Step 4: Simplify right side
    154,536.75x = 101,739,787,605.56
  5. Step 5: Solve for x
    x = 101,739,787,605.56/154,536.75
  6. Step 6: Final answer
    x = 658,353.35

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.