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Finding the Third Proportional to 175,299 and 383,768

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Solution

The third proportional to 175,299 and 383,768 is: 840,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,299 : 383,768 = 383,768 : x
  2. Step 2: Convert to fraction form
    175,299/383,768 = 383,768/x
  3. Step 3: Cross multiply
    175,299x = 383,768 × 383,768
  4. Step 4: Simplify right side
    175,299x = 147,277,877,824
  5. Step 5: Solve for x
    x = 147,277,877,824/175,299
  6. Step 6: Final answer
    x = 840,152.41

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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.