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Finding the Third Proportional to 118,455 and 259,051

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Solution

The third proportional to 118,455 and 259,051 is: 566,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,455 : 259,051 = 259,051 : x
  2. Step 2: Convert to fraction form
    118,455/259,051 = 259,051/x
  3. Step 3: Cross multiply
    118,455x = 259,051 × 259,051
  4. Step 4: Simplify right side
    118,455x = 67,107,420,601
  5. Step 5: Solve for x
    x = 67,107,420,601/118,455
  6. Step 6: Final answer
    x = 566,522.48

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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.