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Finding the Third Proportional to 222,364 and 335,458

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Solution

The third proportional to 222,364 and 335,458 is: 506,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364 : 335,458 = 335,458 : x
  2. Step 2: Convert to fraction form
    222,364/335,458 = 335,458/x
  3. Step 3: Cross multiply
    222,364x = 335,458 × 335,458
  4. Step 4: Simplify right side
    222,364x = 112,532,069,764
  5. Step 5: Solve for x
    x = 112,532,069,764/222,364
  6. Step 6: Final answer
    x = 506,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.