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Finding the Third Proportional to 222,235.75 and 353,036.50

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Solution

The third proportional to 222,235.75 and 353,036.50 is: 560,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,235.75 : 353,036.50 = 353,036.50 : x
  2. Step 2: Convert to fraction form
    222,235.75/353,036.50 = 353,036.50/x
  3. Step 3: Cross multiply
    222,235.75x = 353,036.50 × 353,036.50
  4. Step 4: Simplify right side
    222,235.75x = 124,634,770,332.25
  5. Step 5: Solve for x
    x = 124,634,770,332.25/222,235.75
  6. Step 6: Final answer
    x = 560,822.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.