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Finding the Third Proportional to 144,819 and 311,431.50

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Solution

The third proportional to 144,819 and 311,431.50 is: 669,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,819 : 311,431.50 = 311,431.50 : x
  2. Step 2: Convert to fraction form
    144,819/311,431.50 = 311,431.50/x
  3. Step 3: Cross multiply
    144,819x = 311,431.50 × 311,431.50
  4. Step 4: Simplify right side
    144,819x = 96,989,579,192.25
  5. Step 5: Solve for x
    x = 96,989,579,192.25/144,819
  6. Step 6: Final answer
    x = 669,729.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.