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Finding the Third Proportional to 145,284 and 222,152

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Solution

The third proportional to 145,284 and 222,152 is: 339,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,284 : 222,152 = 222,152 : x
  2. Step 2: Convert to fraction form
    145,284/222,152 = 222,152/x
  3. Step 3: Cross multiply
    145,284x = 222,152 × 222,152
  4. Step 4: Simplify right side
    145,284x = 49,351,511,104
  5. Step 5: Solve for x
    x = 49,351,511,104/145,284
  6. Step 6: Final answer
    x = 339,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.