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Finding the Third Proportional to 86,786 and 180,483

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Solution

The third proportional to 86,786 and 180,483 is: 375,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786 : 180,483 = 180,483 : x
  2. Step 2: Convert to fraction form
    86,786/180,483 = 180,483/x
  3. Step 3: Cross multiply
    86,786x = 180,483 × 180,483
  4. Step 4: Simplify right side
    86,786x = 32,574,113,289
  5. Step 5: Solve for x
    x = 32,574,113,289/86,786
  6. Step 6: Final answer
    x = 375,338.34

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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.