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Finding the Third Proportional to 241,326 and 317,344.50

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Solution

The third proportional to 241,326 and 317,344.50 is: 417,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,326 : 317,344.50 = 317,344.50 : x
  2. Step 2: Convert to fraction form
    241,326/317,344.50 = 317,344.50/x
  3. Step 3: Cross multiply
    241,326x = 317,344.50 × 317,344.50
  4. Step 4: Simplify right side
    241,326x = 100,707,531,680.25
  5. Step 5: Solve for x
    x = 100,707,531,680.25/241,326
  6. Step 6: Final answer
    x = 417,309.08

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.