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Finding the Third Proportional to 274,362 and 364,140

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Solution

The third proportional to 274,362 and 364,140 is: 483,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362 : 364,140 = 364,140 : x
  2. Step 2: Convert to fraction form
    274,362/364,140 = 364,140/x
  3. Step 3: Cross multiply
    274,362x = 364,140 × 364,140
  4. Step 4: Simplify right side
    274,362x = 132,597,939,600
  5. Step 5: Solve for x
    x = 132,597,939,600/274,362
  6. Step 6: Final answer
    x = 483,295.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.