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Finding the Third Proportional to 171,628 and 369,084

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Solution

The third proportional to 171,628 and 369,084 is: 793,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,628 : 369,084 = 369,084 : x
  2. Step 2: Convert to fraction form
    171,628/369,084 = 369,084/x
  3. Step 3: Cross multiply
    171,628x = 369,084 × 369,084
  4. Step 4: Simplify right side
    171,628x = 136,222,999,056
  5. Step 5: Solve for x
    x = 136,222,999,056/171,628
  6. Step 6: Final answer
    x = 793,710.81

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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.