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Finding the Third Proportional to 178,692.75 and 277,841.25

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Solution

The third proportional to 178,692.75 and 277,841.25 is: 432,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,692.75 : 277,841.25 = 277,841.25 : x
  2. Step 2: Convert to fraction form
    178,692.75/277,841.25 = 277,841.25/x
  3. Step 3: Cross multiply
    178,692.75x = 277,841.25 × 277,841.25
  4. Step 4: Simplify right side
    178,692.75x = 77,195,760,201.56
  5. Step 5: Solve for x
    x = 77,195,760,201.56/178,692.75
  6. Step 6: Final answer
    x = 432,002.75

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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.