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Finding the Third Proportional to 86,504 and 186,346

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Solution

The third proportional to 86,504 and 186,346 is: 401,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504 : 186,346 = 186,346 : x
  2. Step 2: Convert to fraction form
    86,504/186,346 = 186,346/x
  3. Step 3: Cross multiply
    86,504x = 186,346 × 186,346
  4. Step 4: Simplify right side
    86,504x = 34,724,831,716
  5. Step 5: Solve for x
    x = 34,724,831,716/86,504
  6. Step 6: Final answer
    x = 401,424.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.