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Finding the Third Proportional to 180,817.31 and 393,779.81

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Solution

The third proportional to 180,817.31 and 393,779.81 is: 857,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817.31 : 393,779.81 = 393,779.81 : x
  2. Step 2: Convert to fraction form
    180,817.31/393,779.81 = 393,779.81/x
  3. Step 3: Cross multiply
    180,817.31x = 393,779.81 × 393,779.81
  4. Step 4: Simplify right side
    180,817.31x = 155,062,540,732.54
  5. Step 5: Solve for x
    x = 155,062,540,732.54/180,817.31
  6. Step 6: Final answer
    x = 857,564.68

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Why These Related Problems?

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