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Finding the Third Proportional to 117,074 and 258,052

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Solution

The third proportional to 117,074 and 258,052 is: 568,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074 : 258,052 = 258,052 : x
  2. Step 2: Convert to fraction form
    117,074/258,052 = 258,052/x
  3. Step 3: Cross multiply
    117,074x = 258,052 × 258,052
  4. Step 4: Simplify right side
    117,074x = 66,590,834,704
  5. Step 5: Solve for x
    x = 66,590,834,704/117,074
  6. Step 6: Final answer
    x = 568,792.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.