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Finding the Third Proportional to 174,032 and 370,824

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Solution

The third proportional to 174,032 and 370,824 is: 790,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,032 : 370,824 = 370,824 : x
  2. Step 2: Convert to fraction form
    174,032/370,824 = 370,824/x
  3. Step 3: Cross multiply
    174,032x = 370,824 × 370,824
  4. Step 4: Simplify right side
    174,032x = 137,510,438,976
  5. Step 5: Solve for x
    x = 137,510,438,976/174,032
  6. Step 6: Final answer
    x = 790,144.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.