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Finding the Third Proportional to 222,994 and 317,882

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Solution

The third proportional to 222,994 and 317,882 is: 453,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,994 : 317,882 = 317,882 : x
  2. Step 2: Convert to fraction form
    222,994/317,882 = 317,882/x
  3. Step 3: Cross multiply
    222,994x = 317,882 × 317,882
  4. Step 4: Simplify right side
    222,994x = 101,048,965,924
  5. Step 5: Solve for x
    x = 101,048,965,924/222,994
  6. Step 6: Final answer
    x = 453,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.