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Finding the Third Proportional to 178,706 and 277,860

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Solution

The third proportional to 178,706 and 277,860 is: 432,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,706 : 277,860 = 277,860 : x
  2. Step 2: Convert to fraction form
    178,706/277,860 = 277,860/x
  3. Step 3: Cross multiply
    178,706x = 277,860 × 277,860
  4. Step 4: Simplify right side
    178,706x = 77,206,179,600
  5. Step 5: Solve for x
    x = 77,206,179,600/178,706
  6. Step 6: Final answer
    x = 432,029.03

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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.