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Finding the Third Proportional to 178,727.63 and 262,077.19

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Solution

The third proportional to 178,727.63 and 262,077.19 is: 384,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,727.63 : 262,077.19 = 262,077.19 : x
  2. Step 2: Convert to fraction form
    178,727.63/262,077.19 = 262,077.19/x
  3. Step 3: Cross multiply
    178,727.63x = 262,077.19 × 262,077.19
  4. Step 4: Simplify right side
    178,727.63x = 68,684,452,207.91
  5. Step 5: Solve for x
    x = 68,684,452,207.91/178,727.63
  6. Step 6: Final answer
    x = 384,296.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.