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Finding the Third Proportional to 218,289.94 and 326,090.81

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Solution

The third proportional to 218,289.94 and 326,090.81 is: 487,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,289.94 : 326,090.81 = 326,090.81 : x
  2. Step 2: Convert to fraction form
    218,289.94/326,090.81 = 326,090.81/x
  3. Step 3: Cross multiply
    218,289.94x = 326,090.81 × 326,090.81
  4. Step 4: Simplify right side
    218,289.94x = 106,335,217,996.91
  5. Step 5: Solve for x
    x = 106,335,217,996.91/218,289.94
  6. Step 6: Final answer
    x = 487,128.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.