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Finding the Third Proportional to 179,964 and 263,034

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Solution

The third proportional to 179,964 and 263,034 is: 384,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 263,034 = 263,034 : x
  2. Step 2: Convert to fraction form
    179,964/263,034 = 263,034/x
  3. Step 3: Cross multiply
    179,964x = 263,034 × 263,034
  4. Step 4: Simplify right side
    179,964x = 69,186,885,156
  5. Step 5: Solve for x
    x = 69,186,885,156/179,964
  6. Step 6: Final answer
    x = 384,448.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.