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Finding the Third Proportional to 117,044 and 259,396

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Solution

The third proportional to 117,044 and 259,396 is: 574,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,044 : 259,396 = 259,396 : x
  2. Step 2: Convert to fraction form
    117,044/259,396 = 259,396/x
  3. Step 3: Cross multiply
    117,044x = 259,396 × 259,396
  4. Step 4: Simplify right side
    117,044x = 67,286,284,816
  5. Step 5: Solve for x
    x = 67,286,284,816/117,044
  6. Step 6: Final answer
    x = 574,880.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.