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Finding the Third Proportional to 171,032.63 and 366,971.63

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Solution

The third proportional to 171,032.63 and 366,971.63 is: 787,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,032.63 : 366,971.63 = 366,971.63 : x
  2. Step 2: Convert to fraction form
    171,032.63/366,971.63 = 366,971.63/x
  3. Step 3: Cross multiply
    171,032.63x = 366,971.63 × 366,971.63
  4. Step 4: Simplify right side
    171,032.63x = 134,668,173,555.14
  5. Step 5: Solve for x
    x = 134,668,173,555.14/171,032.63
  6. Step 6: Final answer
    x = 787,382.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.