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Finding the Third Proportional to 117,630 and 254,052

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Solution

The third proportional to 117,630 and 254,052 is: 548,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,630 : 254,052 = 254,052 : x
  2. Step 2: Convert to fraction form
    117,630/254,052 = 254,052/x
  3. Step 3: Cross multiply
    117,630x = 254,052 × 254,052
  4. Step 4: Simplify right side
    117,630x = 64,542,418,704
  5. Step 5: Solve for x
    x = 64,542,418,704/117,630
  6. Step 6: Final answer
    x = 548,690.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.