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Finding the Third Proportional to 183,472.50 and 303,653

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Solution

The third proportional to 183,472.50 and 303,653 is: 502,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,472.50 : 303,653 = 303,653 : x
  2. Step 2: Convert to fraction form
    183,472.50/303,653 = 303,653/x
  3. Step 3: Cross multiply
    183,472.50x = 303,653 × 303,653
  4. Step 4: Simplify right side
    183,472.50x = 92,205,144,409
  5. Step 5: Solve for x
    x = 92,205,144,409/183,472.50
  6. Step 6: Final answer
    x = 502,555.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.