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Finding the Third Proportional to 200,372 and 300,054

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Solution

The third proportional to 200,372 and 300,054 is: 449,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,372 : 300,054 = 300,054 : x
  2. Step 2: Convert to fraction form
    200,372/300,054 = 300,054/x
  3. Step 3: Cross multiply
    200,372x = 300,054 × 300,054
  4. Step 4: Simplify right side
    200,372x = 90,032,402,916
  5. Step 5: Solve for x
    x = 90,032,402,916/200,372
  6. Step 6: Final answer
    x = 449,326.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.