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Finding the Third Proportional to 179,392 and 277,836

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Solution

The third proportional to 179,392 and 277,836 is: 430,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,392 : 277,836 = 277,836 : x
  2. Step 2: Convert to fraction form
    179,392/277,836 = 277,836/x
  3. Step 3: Cross multiply
    179,392x = 277,836 × 277,836
  4. Step 4: Simplify right side
    179,392x = 77,192,842,896
  5. Step 5: Solve for x
    x = 77,192,842,896/179,392
  6. Step 6: Final answer
    x = 430,302.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.