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Finding the Third Proportional to 176,256 and 364,368

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Solution

The third proportional to 176,256 and 364,368 is: 753,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 364,368 = 364,368 : x
  2. Step 2: Convert to fraction form
    176,256/364,368 = 364,368/x
  3. Step 3: Cross multiply
    176,256x = 364,368 × 364,368
  4. Step 4: Simplify right side
    176,256x = 132,764,039,424
  5. Step 5: Solve for x
    x = 132,764,039,424/176,256
  6. Step 6: Final answer
    x = 753,245.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.