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Finding the Third Proportional to 218,340.50 and 462,925

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Solution

The third proportional to 218,340.50 and 462,925 is: 981,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,340.50 : 462,925 = 462,925 : x
  2. Step 2: Convert to fraction form
    218,340.50/462,925 = 462,925/x
  3. Step 3: Cross multiply
    218,340.50x = 462,925 × 462,925
  4. Step 4: Simplify right side
    218,340.50x = 214,299,555,625
  5. Step 5: Solve for x
    x = 214,299,555,625/218,340.50
  6. Step 6: Final answer
    x = 981,492.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.