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Finding the Third Proportional to 222,804 and 365,754

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Solution

The third proportional to 222,804 and 365,754 is: 600,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,804 : 365,754 = 365,754 : x
  2. Step 2: Convert to fraction form
    222,804/365,754 = 365,754/x
  3. Step 3: Cross multiply
    222,804x = 365,754 × 365,754
  4. Step 4: Simplify right side
    222,804x = 133,775,988,516
  5. Step 5: Solve for x
    x = 133,775,988,516/222,804
  6. Step 6: Final answer
    x = 600,420.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.