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Finding the Third Proportional to 180,520 and 264,622

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Solution

The third proportional to 180,520 and 264,622 is: 387,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,520 : 264,622 = 264,622 : x
  2. Step 2: Convert to fraction form
    180,520/264,622 = 264,622/x
  3. Step 3: Cross multiply
    180,520x = 264,622 × 264,622
  4. Step 4: Simplify right side
    180,520x = 70,024,802,884
  5. Step 5: Solve for x
    x = 70,024,802,884/180,520
  6. Step 6: Final answer
    x = 387,906.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.