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Finding the Third Proportional to 248,148 and 525,546

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Solution

The third proportional to 248,148 and 525,546 is: 1,113,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,148 : 525,546 = 525,546 : x
  2. Step 2: Convert to fraction form
    248,148/525,546 = 525,546/x
  3. Step 3: Cross multiply
    248,148x = 525,546 × 525,546
  4. Step 4: Simplify right side
    248,148x = 276,198,598,116
  5. Step 5: Solve for x
    x = 276,198,598,116/248,148
  6. Step 6: Final answer
    x = 1,113,039.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.