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Finding the Third Proportional to 219,923 and 363,945

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Solution

The third proportional to 219,923 and 363,945 is: 602,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,923 : 363,945 = 363,945 : x
  2. Step 2: Convert to fraction form
    219,923/363,945 = 363,945/x
  3. Step 3: Cross multiply
    219,923x = 363,945 × 363,945
  4. Step 4: Simplify right side
    219,923x = 132,455,963,025
  5. Step 5: Solve for x
    x = 132,455,963,025/219,923
  6. Step 6: Final answer
    x = 602,283.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.