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Finding the Third Proportional to 116,318 and 251,206

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Solution

The third proportional to 116,318 and 251,206 is: 542,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,318 : 251,206 = 251,206 : x
  2. Step 2: Convert to fraction form
    116,318/251,206 = 251,206/x
  3. Step 3: Cross multiply
    116,318x = 251,206 × 251,206
  4. Step 4: Simplify right side
    116,318x = 63,104,454,436
  5. Step 5: Solve for x
    x = 63,104,454,436/116,318
  6. Step 6: Final answer
    x = 542,516.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.