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Finding the Third Proportional to 211,088 and 448,084

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Solution

The third proportional to 211,088 and 448,084 is: 951,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,088 : 448,084 = 448,084 : x
  2. Step 2: Convert to fraction form
    211,088/448,084 = 448,084/x
  3. Step 3: Cross multiply
    211,088x = 448,084 × 448,084
  4. Step 4: Simplify right side
    211,088x = 200,779,271,056
  5. Step 5: Solve for x
    x = 200,779,271,056/211,088
  6. Step 6: Final answer
    x = 951,163.83

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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.