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Finding the Third Proportional to 241,238 and 333,345

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Solution

The third proportional to 241,238 and 333,345 is: 460,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,238 : 333,345 = 333,345 : x
  2. Step 2: Convert to fraction form
    241,238/333,345 = 333,345/x
  3. Step 3: Cross multiply
    241,238x = 333,345 × 333,345
  4. Step 4: Simplify right side
    241,238x = 111,118,889,025
  5. Step 5: Solve for x
    x = 111,118,889,025/241,238
  6. Step 6: Final answer
    x = 460,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.