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Finding the Third Proportional to 176,904 and 388,296

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Solution

The third proportional to 176,904 and 388,296 is: 852,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,904 : 388,296 = 388,296 : x
  2. Step 2: Convert to fraction form
    176,904/388,296 = 388,296/x
  3. Step 3: Cross multiply
    176,904x = 388,296 × 388,296
  4. Step 4: Simplify right side
    176,904x = 150,773,783,616
  5. Step 5: Solve for x
    x = 150,773,783,616/176,904
  6. Step 6: Final answer
    x = 852,291.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.