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Finding the Third Proportional to 145,546.88 and 222,208.31

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Solution

The third proportional to 145,546.88 and 222,208.31 is: 339,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546.88 : 222,208.31 = 222,208.31 : x
  2. Step 2: Convert to fraction form
    145,546.88/222,208.31 = 222,208.31/x
  3. Step 3: Cross multiply
    145,546.88x = 222,208.31 × 222,208.31
  4. Step 4: Simplify right side
    145,546.88x = 49,376,534,144.10
  5. Step 5: Solve for x
    x = 49,376,534,144.10/145,546.88
  6. Step 6: Final answer
    x = 339,248.33

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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.