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Finding the Third Proportional to 211,082 and 448,072

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Solution

The third proportional to 211,082 and 448,072 is: 951,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,082 : 448,072 = 448,072 : x
  2. Step 2: Convert to fraction form
    211,082/448,072 = 448,072/x
  3. Step 3: Cross multiply
    211,082x = 448,072 × 448,072
  4. Step 4: Simplify right side
    211,082x = 200,768,517,184
  5. Step 5: Solve for x
    x = 200,768,517,184/211,082
  6. Step 6: Final answer
    x = 951,139.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.