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Finding the Third Proportional to 216,166.22 and 324,941.63

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Solution

The third proportional to 216,166.22 and 324,941.63 is: 488,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,166.22 : 324,941.63 = 324,941.63 : x
  2. Step 2: Convert to fraction form
    216,166.22/324,941.63 = 324,941.63/x
  3. Step 3: Cross multiply
    216,166.22x = 324,941.63 × 324,941.63
  4. Step 4: Simplify right side
    216,166.22x = 105,587,059,657.64
  5. Step 5: Solve for x
    x = 105,587,059,657.64/216,166.22
  6. Step 6: Final answer
    x = 488,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.