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Finding the Third Proportional to 176,519.25 and 388,668.38

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Solution

The third proportional to 176,519.25 and 388,668.38 is: 855,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,519.25 : 388,668.38 = 388,668.38 : x
  2. Step 2: Convert to fraction form
    176,519.25/388,668.38 = 388,668.38/x
  3. Step 3: Cross multiply
    176,519.25x = 388,668.38 × 388,668.38
  4. Step 4: Simplify right side
    176,519.25x = 151,063,105,725.14
  5. Step 5: Solve for x
    x = 151,063,105,725.14/176,519.25
  6. Step 6: Final answer
    x = 855,788.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.