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Finding the Third Proportional to 180,045 and 262,666

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Solution

The third proportional to 180,045 and 262,666 is: 383,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,045 : 262,666 = 262,666 : x
  2. Step 2: Convert to fraction form
    180,045/262,666 = 262,666/x
  3. Step 3: Cross multiply
    180,045x = 262,666 × 262,666
  4. Step 4: Simplify right side
    180,045x = 68,993,427,556
  5. Step 5: Solve for x
    x = 68,993,427,556/180,045
  6. Step 6: Final answer
    x = 383,201.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.