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Finding the Third Proportional to 185,477 and 279,948

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Solution

The third proportional to 185,477 and 279,948 is: 422,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,477 : 279,948 = 279,948 : x
  2. Step 2: Convert to fraction form
    185,477/279,948 = 279,948/x
  3. Step 3: Cross multiply
    185,477x = 279,948 × 279,948
  4. Step 4: Simplify right side
    185,477x = 78,370,882,704
  5. Step 5: Solve for x
    x = 78,370,882,704/185,477
  6. Step 6: Final answer
    x = 422,536.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.