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Finding the Third Proportional to 180,774 and 375,885

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Solution

The third proportional to 180,774 and 375,885 is: 781,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774 : 375,885 = 375,885 : x
  2. Step 2: Convert to fraction form
    180,774/375,885 = 375,885/x
  3. Step 3: Cross multiply
    180,774x = 375,885 × 375,885
  4. Step 4: Simplify right side
    180,774x = 141,289,533,225
  5. Step 5: Solve for x
    x = 141,289,533,225/180,774
  6. Step 6: Final answer
    x = 781,581.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.