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Finding the Third Proportional to 86,184 and 180,216

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Solution

The third proportional to 86,184 and 180,216 is: 376,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184 : 180,216 = 180,216 : x
  2. Step 2: Convert to fraction form
    86,184/180,216 = 180,216/x
  3. Step 3: Cross multiply
    86,184x = 180,216 × 180,216
  4. Step 4: Simplify right side
    86,184x = 32,477,806,656
  5. Step 5: Solve for x
    x = 32,477,806,656/86,184
  6. Step 6: Final answer
    x = 376,842.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.