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Finding the Third Proportional to 180,544 and 252,404

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Solution

The third proportional to 180,544 and 252,404 is: 352,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,544 : 252,404 = 252,404 : x
  2. Step 2: Convert to fraction form
    180,544/252,404 = 252,404/x
  3. Step 3: Cross multiply
    180,544x = 252,404 × 252,404
  4. Step 4: Simplify right side
    180,544x = 63,707,779,216
  5. Step 5: Solve for x
    x = 63,707,779,216/180,544
  6. Step 6: Final answer
    x = 352,865.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.