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Finding the Third Proportional to 148,444.50 and 311,469

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Solution

The third proportional to 148,444.50 and 311,469 is: 653,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,444.50 : 311,469 = 311,469 : x
  2. Step 2: Convert to fraction form
    148,444.50/311,469 = 311,469/x
  3. Step 3: Cross multiply
    148,444.50x = 311,469 × 311,469
  4. Step 4: Simplify right side
    148,444.50x = 97,012,937,961
  5. Step 5: Solve for x
    x = 97,012,937,961/148,444.50
  6. Step 6: Final answer
    x = 653,530.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.