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Finding the Third Proportional to 248,346 and 380,234.25

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Solution

The third proportional to 248,346 and 380,234.25 is: 582,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,346 : 380,234.25 = 380,234.25 : x
  2. Step 2: Convert to fraction form
    248,346/380,234.25 = 380,234.25/x
  3. Step 3: Cross multiply
    248,346x = 380,234.25 × 380,234.25
  4. Step 4: Simplify right side
    248,346x = 144,578,084,873.06
  5. Step 5: Solve for x
    x = 144,578,084,873.06/248,346
  6. Step 6: Final answer
    x = 582,163.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.