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Finding the Third Proportional to 219,546 and 338,931

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Solution

The third proportional to 219,546 and 338,931 is: 523,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546 : 338,931 = 338,931 : x
  2. Step 2: Convert to fraction form
    219,546/338,931 = 338,931/x
  3. Step 3: Cross multiply
    219,546x = 338,931 × 338,931
  4. Step 4: Simplify right side
    219,546x = 114,874,222,761
  5. Step 5: Solve for x
    x = 114,874,222,761/219,546
  6. Step 6: Final answer
    x = 523,235.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.