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Finding the Third Proportional to 263,670.19 and 366,185.81

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Solution

The third proportional to 263,670.19 and 366,185.81 is: 508,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.19 : 366,185.81 = 366,185.81 : x
  2. Step 2: Convert to fraction form
    263,670.19/366,185.81 = 366,185.81/x
  3. Step 3: Cross multiply
    263,670.19x = 366,185.81 × 366,185.81
  4. Step 4: Simplify right side
    263,670.19x = 134,092,049,276.29
  5. Step 5: Solve for x
    x = 134,092,049,276.29/263,670.19
  6. Step 6: Final answer
    x = 508,559.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.