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Finding the Third Proportional to 180,223.50 and 383,742

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Solution

The third proportional to 180,223.50 and 383,742 is: 817,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,223.50 : 383,742 = 383,742 : x
  2. Step 2: Convert to fraction form
    180,223.50/383,742 = 383,742/x
  3. Step 3: Cross multiply
    180,223.50x = 383,742 × 383,742
  4. Step 4: Simplify right side
    180,223.50x = 147,257,922,564
  5. Step 5: Solve for x
    x = 147,257,922,564/180,223.50
  6. Step 6: Final answer
    x = 817,085.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.