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Finding the Third Proportional to 176,010 and 378,556.50

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Solution

The third proportional to 176,010 and 378,556.50 is: 814,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,010 : 378,556.50 = 378,556.50 : x
  2. Step 2: Convert to fraction form
    176,010/378,556.50 = 378,556.50/x
  3. Step 3: Cross multiply
    176,010x = 378,556.50 × 378,556.50
  4. Step 4: Simplify right side
    176,010x = 143,305,023,692.25
  5. Step 5: Solve for x
    x = 143,305,023,692.25/176,010
  6. Step 6: Final answer
    x = 814,186.83

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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.