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Finding the Third Proportional to 140,762.81 and 306,311.63

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Solution

The third proportional to 140,762.81 and 306,311.63 is: 666,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,762.81 : 306,311.63 = 306,311.63 : x
  2. Step 2: Convert to fraction form
    140,762.81/306,311.63 = 306,311.63/x
  3. Step 3: Cross multiply
    140,762.81x = 306,311.63 × 306,311.63
  4. Step 4: Simplify right side
    140,762.81x = 93,826,811,610.14
  5. Step 5: Solve for x
    x = 93,826,811,610.14/140,762.81
  6. Step 6: Final answer
    x = 666,559.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.