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Finding the Third Proportional to 133,385.50 and 203,466

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Solution

The third proportional to 133,385.50 and 203,466 is: 310,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,385.50 : 203,466 = 203,466 : x
  2. Step 2: Convert to fraction form
    133,385.50/203,466 = 203,466/x
  3. Step 3: Cross multiply
    133,385.50x = 203,466 × 203,466
  4. Step 4: Simplify right side
    133,385.50x = 41,398,413,156
  5. Step 5: Solve for x
    x = 41,398,413,156/133,385.50
  6. Step 6: Final answer
    x = 310,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.