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Finding the Third Proportional to 248,078 and 532,144

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Solution

The third proportional to 248,078 and 532,144 is: 1,141,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,078 : 532,144 = 532,144 : x
  2. Step 2: Convert to fraction form
    248,078/532,144 = 532,144/x
  3. Step 3: Cross multiply
    248,078x = 532,144 × 532,144
  4. Step 4: Simplify right side
    248,078x = 283,177,236,736
  5. Step 5: Solve for x
    x = 283,177,236,736/248,078
  6. Step 6: Final answer
    x = 1,141,484.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.