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Finding the Third Proportional to 180,469 and 252,315

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Solution

The third proportional to 180,469 and 252,315 is: 352,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469 : 252,315 = 252,315 : x
  2. Step 2: Convert to fraction form
    180,469/252,315 = 252,315/x
  3. Step 3: Cross multiply
    180,469x = 252,315 × 252,315
  4. Step 4: Simplify right side
    180,469x = 63,662,859,225
  5. Step 5: Solve for x
    x = 63,662,859,225/180,469
  6. Step 6: Final answer
    x = 352,763.41

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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.