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Finding the Third Proportional to 211,936 and 297,072

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Solution

The third proportional to 211,936 and 297,072 is: 416,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,936 : 297,072 = 297,072 : x
  2. Step 2: Convert to fraction form
    211,936/297,072 = 297,072/x
  3. Step 3: Cross multiply
    211,936x = 297,072 × 297,072
  4. Step 4: Simplify right side
    211,936x = 88,251,773,184
  5. Step 5: Solve for x
    x = 88,251,773,184/211,936
  6. Step 6: Final answer
    x = 416,407.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.