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Finding the Third Proportional to 222,429.94 and 344,705.06

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Solution

The third proportional to 222,429.94 and 344,705.06 is: 534,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,429.94 : 344,705.06 = 344,705.06 : x
  2. Step 2: Convert to fraction form
    222,429.94/344,705.06 = 344,705.06/x
  3. Step 3: Cross multiply
    222,429.94x = 344,705.06 × 344,705.06
  4. Step 4: Simplify right side
    222,429.94x = 118,821,580,113.13
  5. Step 5: Solve for x
    x = 118,821,580,113.13/222,429.94
  6. Step 6: Final answer
    x = 534,197.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.