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Finding the Third Proportional to 183,556 and 403,266

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Solution

The third proportional to 183,556 and 403,266 is: 885,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 403,266 = 403,266 : x
  2. Step 2: Convert to fraction form
    183,556/403,266 = 403,266/x
  3. Step 3: Cross multiply
    183,556x = 403,266 × 403,266
  4. Step 4: Simplify right side
    183,556x = 162,623,466,756
  5. Step 5: Solve for x
    x = 162,623,466,756/183,556
  6. Step 6: Final answer
    x = 885,961.05

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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.