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Finding the Third Proportional to 241,336.13 and 317,356.69

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Solution

The third proportional to 241,336.13 and 317,356.69 is: 417,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,336.13 : 317,356.69 = 317,356.69 : x
  2. Step 2: Convert to fraction form
    241,336.13/317,356.69 = 317,356.69/x
  3. Step 3: Cross multiply
    241,336.13x = 317,356.69 × 317,356.69
  4. Step 4: Simplify right side
    241,336.13x = 100,715,267,100.97
  5. Step 5: Solve for x
    x = 100,715,267,100.97/241,336.13
  6. Step 6: Final answer
    x = 417,323.63

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.