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Finding the Third Proportional to 183,211 and 403,692.50

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Solution

The third proportional to 183,211 and 403,692.50 is: 889,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,211 : 403,692.50 = 403,692.50 : x
  2. Step 2: Convert to fraction form
    183,211/403,692.50 = 403,692.50/x
  3. Step 3: Cross multiply
    183,211x = 403,692.50 × 403,692.50
  4. Step 4: Simplify right side
    183,211x = 162,967,634,556.25
  5. Step 5: Solve for x
    x = 162,967,634,556.25/183,211
  6. Step 6: Final answer
    x = 889,507.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.