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Finding the Third Proportional to 182,894.63 and 398,867.63

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Solution

The third proportional to 182,894.63 and 398,867.63 is: 869,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,894.63 : 398,867.63 = 398,867.63 : x
  2. Step 2: Convert to fraction form
    182,894.63/398,867.63 = 398,867.63/x
  3. Step 3: Cross multiply
    182,894.63x = 398,867.63 × 398,867.63
  4. Step 4: Simplify right side
    182,894.63x = 159,095,382,273.14
  5. Step 5: Solve for x
    x = 159,095,382,273.14/182,894.63
  6. Step 6: Final answer
    x = 869,874.56

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