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Finding the Third Proportional to 114,080 and 274,832

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Solution

The third proportional to 114,080 and 274,832 is: 662,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,080 : 274,832 = 274,832 : x
  2. Step 2: Convert to fraction form
    114,080/274,832 = 274,832/x
  3. Step 3: Cross multiply
    114,080x = 274,832 × 274,832
  4. Step 4: Simplify right side
    114,080x = 75,532,628,224
  5. Step 5: Solve for x
    x = 75,532,628,224/114,080
  6. Step 6: Final answer
    x = 662,102.28

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.