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Finding the Third Proportional to 86,914 and 180,356

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Solution

The third proportional to 86,914 and 180,356 is: 374,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,914 : 180,356 = 180,356 : x
  2. Step 2: Convert to fraction form
    86,914/180,356 = 180,356/x
  3. Step 3: Cross multiply
    86,914x = 180,356 × 180,356
  4. Step 4: Simplify right side
    86,914x = 32,528,286,736
  5. Step 5: Solve for x
    x = 32,528,286,736/86,914
  6. Step 6: Final answer
    x = 374,258.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.