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Finding the Third Proportional to 151,439.63 and 212,194.69

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Solution

The third proportional to 151,439.63 and 212,194.69 is: 297,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,439.63 : 212,194.69 = 212,194.69 : x
  2. Step 2: Convert to fraction form
    151,439.63/212,194.69 = 212,194.69/x
  3. Step 3: Cross multiply
    151,439.63x = 212,194.69 × 212,194.69
  4. Step 4: Simplify right side
    151,439.63x = 45,026,585,403.22
  5. Step 5: Solve for x
    x = 45,026,585,403.22/151,439.63
  6. Step 6: Final answer
    x = 297,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.