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Finding the Third Proportional to 133,774 and 289,964

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Solution

The third proportional to 133,774 and 289,964 is: 628,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774 : 289,964 = 289,964 : x
  2. Step 2: Convert to fraction form
    133,774/289,964 = 289,964/x
  3. Step 3: Cross multiply
    133,774x = 289,964 × 289,964
  4. Step 4: Simplify right side
    133,774x = 84,079,121,296
  5. Step 5: Solve for x
    x = 84,079,121,296/133,774
  6. Step 6: Final answer
    x = 628,516.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.