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Finding the Third Proportional to 114,322 and 178,800

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Solution

The third proportional to 114,322 and 178,800 is: 279,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322 : 178,800 = 178,800 : x
  2. Step 2: Convert to fraction form
    114,322/178,800 = 178,800/x
  3. Step 3: Cross multiply
    114,322x = 178,800 × 178,800
  4. Step 4: Simplify right side
    114,322x = 31,969,440,000
  5. Step 5: Solve for x
    x = 31,969,440,000/114,322
  6. Step 6: Final answer
    x = 279,643.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.