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Finding the Third Proportional to 148,014.50 and 311,501

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Solution

The third proportional to 148,014.50 and 311,501 is: 655,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,014.50 : 311,501 = 311,501 : x
  2. Step 2: Convert to fraction form
    148,014.50/311,501 = 311,501/x
  3. Step 3: Cross multiply
    148,014.50x = 311,501 × 311,501
  4. Step 4: Simplify right side
    148,014.50x = 97,032,873,001
  5. Step 5: Solve for x
    x = 97,032,873,001/148,014.50
  6. Step 6: Final answer
    x = 655,563.29

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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.