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Finding the Third Proportional to 263,196 and 393,039.75

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Solution

The third proportional to 263,196 and 393,039.75 is: 586,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,196 : 393,039.75 = 393,039.75 : x
  2. Step 2: Convert to fraction form
    263,196/393,039.75 = 393,039.75/x
  3. Step 3: Cross multiply
    263,196x = 393,039.75 × 393,039.75
  4. Step 4: Simplify right side
    263,196x = 154,480,245,080.06
  5. Step 5: Solve for x
    x = 154,480,245,080.06/263,196
  6. Step 6: Final answer
    x = 586,939.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.