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Finding the Third Proportional to 148,504.50 and 230,154.75

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Solution

The third proportional to 148,504.50 and 230,154.75 is: 356,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,504.50 : 230,154.75 = 230,154.75 : x
  2. Step 2: Convert to fraction form
    148,504.50/230,154.75 = 230,154.75/x
  3. Step 3: Cross multiply
    148,504.50x = 230,154.75 × 230,154.75
  4. Step 4: Simplify right side
    148,504.50x = 52,971,208,947.56
  5. Step 5: Solve for x
    x = 52,971,208,947.56/148,504.50
  6. Step 6: Final answer
    x = 356,697.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.