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Finding the Third Proportional to 212,321.25 and 325,852.88

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Solution

The third proportional to 212,321.25 and 325,852.88 is: 500,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,321.25 : 325,852.88 = 325,852.88 : x
  2. Step 2: Convert to fraction form
    212,321.25/325,852.88 = 325,852.88/x
  3. Step 3: Cross multiply
    212,321.25x = 325,852.88 × 325,852.88
  4. Step 4: Simplify right side
    212,321.25x = 106,180,096,145.77
  5. Step 5: Solve for x
    x = 106,180,096,145.77/212,321.25
  6. Step 6: Final answer
    x = 500,091.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.