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Finding the Third Proportional to 212,362.50 and 320,184

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Solution

The third proportional to 212,362.50 and 320,184 is: 482,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,362.50 : 320,184 = 320,184 : x
  2. Step 2: Convert to fraction form
    212,362.50/320,184 = 320,184/x
  3. Step 3: Cross multiply
    212,362.50x = 320,184 × 320,184
  4. Step 4: Simplify right side
    212,362.50x = 102,517,793,856
  5. Step 5: Solve for x
    x = 102,517,793,856/212,362.50
  6. Step 6: Final answer
    x = 482,749.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.