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Finding the Third Proportional to 171,029.63 and 366,965.63

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Solution

The third proportional to 171,029.63 and 366,965.63 is: 787,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,029.63 : 366,965.63 = 366,965.63 : x
  2. Step 2: Convert to fraction form
    171,029.63/366,965.63 = 366,965.63/x
  3. Step 3: Cross multiply
    171,029.63x = 366,965.63 × 366,965.63
  4. Step 4: Simplify right side
    171,029.63x = 134,663,769,931.64
  5. Step 5: Solve for x
    x = 134,663,769,931.64/171,029.63
  6. Step 6: Final answer
    x = 787,371.02

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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.