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Finding the Third Proportional to 172,048 and 370,462

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Solution

The third proportional to 172,048 and 370,462 is: 797,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048 : 370,462 = 370,462 : x
  2. Step 2: Convert to fraction form
    172,048/370,462 = 370,462/x
  3. Step 3: Cross multiply
    172,048x = 370,462 × 370,462
  4. Step 4: Simplify right side
    172,048x = 137,242,093,444
  5. Step 5: Solve for x
    x = 137,242,093,444/172,048
  6. Step 6: Final answer
    x = 797,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.