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Finding the Third Proportional to 141,925 and 213,481.50

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Solution

The third proportional to 141,925 and 213,481.50 is: 321,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,925 : 213,481.50 = 213,481.50 : x
  2. Step 2: Convert to fraction form
    141,925/213,481.50 = 213,481.50/x
  3. Step 3: Cross multiply
    141,925x = 213,481.50 × 213,481.50
  4. Step 4: Simplify right side
    141,925x = 45,574,350,842.25
  5. Step 5: Solve for x
    x = 45,574,350,842.25/141,925
  6. Step 6: Final answer
    x = 321,115.74

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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.