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Finding the Third Proportional to 240,382 and 348,170

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Solution

The third proportional to 240,382 and 348,170 is: 504,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,382 : 348,170 = 348,170 : x
  2. Step 2: Convert to fraction form
    240,382/348,170 = 348,170/x
  3. Step 3: Cross multiply
    240,382x = 348,170 × 348,170
  4. Step 4: Simplify right side
    240,382x = 121,222,348,900
  5. Step 5: Solve for x
    x = 121,222,348,900/240,382
  6. Step 6: Final answer
    x = 504,290.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.