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Finding the Third Proportional to 171,426 and 369,164

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Solution

The third proportional to 171,426 and 369,164 is: 794,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,426 : 369,164 = 369,164 : x
  2. Step 2: Convert to fraction form
    171,426/369,164 = 369,164/x
  3. Step 3: Cross multiply
    171,426x = 369,164 × 369,164
  4. Step 4: Simplify right side
    171,426x = 136,282,058,896
  5. Step 5: Solve for x
    x = 136,282,058,896/171,426
  6. Step 6: Final answer
    x = 794,990.60

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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.