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Finding the Third Proportional to 118,350 and 259,622

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Solution

The third proportional to 118,350 and 259,622 is: 569,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,350 : 259,622 = 259,622 : x
  2. Step 2: Convert to fraction form
    118,350/259,622 = 259,622/x
  3. Step 3: Cross multiply
    118,350x = 259,622 × 259,622
  4. Step 4: Simplify right side
    118,350x = 67,403,582,884
  5. Step 5: Solve for x
    x = 67,403,582,884/118,350
  6. Step 6: Final answer
    x = 569,527.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.