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Finding the Third Proportional to 241,240 and 333,348

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Solution

The third proportional to 241,240 and 333,348 is: 460,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,240 : 333,348 = 333,348 : x
  2. Step 2: Convert to fraction form
    241,240/333,348 = 333,348/x
  3. Step 3: Cross multiply
    241,240x = 333,348 × 333,348
  4. Step 4: Simplify right side
    241,240x = 111,120,889,104
  5. Step 5: Solve for x
    x = 111,120,889,104/241,240
  6. Step 6: Final answer
    x = 460,623.81

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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.