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Finding the Third Proportional to 74,414.25 and 163,281.09

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Solution

The third proportional to 74,414.25 and 163,281.09 is: 358,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.25 : 163,281.09 = 163,281.09 : x
  2. Step 2: Convert to fraction form
    74,414.25/163,281.09 = 163,281.09/x
  3. Step 3: Cross multiply
    74,414.25x = 163,281.09 × 163,281.09
  4. Step 4: Simplify right side
    74,414.25x = 26,660,715,576.20
  5. Step 5: Solve for x
    x = 26,660,715,576.20/74,414.25
  6. Step 6: Final answer
    x = 358,274.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.