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Finding the Third Proportional to 274,293 and 364,061.25

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Solution

The third proportional to 274,293 and 364,061.25 is: 483,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,293 : 364,061.25 = 364,061.25 : x
  2. Step 2: Convert to fraction form
    274,293/364,061.25 = 364,061.25/x
  3. Step 3: Cross multiply
    274,293x = 364,061.25 × 364,061.25
  4. Step 4: Simplify right side
    274,293x = 132,540,593,751.56
  5. Step 5: Solve for x
    x = 132,540,593,751.56/274,293
  6. Step 6: Final answer
    x = 483,208.08

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