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Finding the Third Proportional to 148,441.50 and 311,465.25

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Solution

The third proportional to 148,441.50 and 311,465.25 is: 653,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,441.50 : 311,465.25 = 311,465.25 : x
  2. Step 2: Convert to fraction form
    148,441.50/311,465.25 = 311,465.25/x
  3. Step 3: Cross multiply
    148,441.50x = 311,465.25 × 311,465.25
  4. Step 4: Simplify right side
    148,441.50x = 97,010,601,957.56
  5. Step 5: Solve for x
    x = 97,010,601,957.56/148,441.50
  6. Step 6: Final answer
    x = 653,527.50

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Why These Related Problems?

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