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Finding the Third Proportional to 174,576 and 382,272

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Solution

The third proportional to 174,576 and 382,272 is: 837,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,576 : 382,272 = 382,272 : x
  2. Step 2: Convert to fraction form
    174,576/382,272 = 382,272/x
  3. Step 3: Cross multiply
    174,576x = 382,272 × 382,272
  4. Step 4: Simplify right side
    174,576x = 146,131,881,984
  5. Step 5: Solve for x
    x = 146,131,881,984/174,576
  6. Step 6: Final answer
    x = 837,067.42

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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.