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Finding the Third Proportional to 176,556.75 and 226,692.75

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Solution

The third proportional to 176,556.75 and 226,692.75 is: 291,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,556.75 : 226,692.75 = 226,692.75 : x
  2. Step 2: Convert to fraction form
    176,556.75/226,692.75 = 226,692.75/x
  3. Step 3: Cross multiply
    176,556.75x = 226,692.75 × 226,692.75
  4. Step 4: Simplify right side
    176,556.75x = 51,389,602,902.56
  5. Step 5: Solve for x
    x = 51,389,602,902.56/176,556.75
  6. Step 6: Final answer
    x = 291,065.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.