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Finding the Third Proportional to 186,869 and 257,097

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Solution

The third proportional to 186,869 and 257,097 is: 353,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,869 : 257,097 = 257,097 : x
  2. Step 2: Convert to fraction form
    186,869/257,097 = 257,097/x
  3. Step 3: Cross multiply
    186,869x = 257,097 × 257,097
  4. Step 4: Simplify right side
    186,869x = 66,098,867,409
  5. Step 5: Solve for x
    x = 66,098,867,409/186,869
  6. Step 6: Final answer
    x = 353,717.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.