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Finding the Third Proportional to 141,817.50 and 209,925

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Solution

The third proportional to 141,817.50 and 209,925 is: 310,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,817.50 : 209,925 = 209,925 : x
  2. Step 2: Convert to fraction form
    141,817.50/209,925 = 209,925/x
  3. Step 3: Cross multiply
    141,817.50x = 209,925 × 209,925
  4. Step 4: Simplify right side
    141,817.50x = 44,068,505,625
  5. Step 5: Solve for x
    x = 44,068,505,625/141,817.50
  6. Step 6: Final answer
    x = 310,740.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.