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Finding the Third Proportional to 186,770.50 and 399,785

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Solution

The third proportional to 186,770.50 and 399,785 is: 855,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770.50 : 399,785 = 399,785 : x
  2. Step 2: Convert to fraction form
    186,770.50/399,785 = 399,785/x
  3. Step 3: Cross multiply
    186,770.50x = 399,785 × 399,785
  4. Step 4: Simplify right side
    186,770.50x = 159,828,046,225
  5. Step 5: Solve for x
    x = 159,828,046,225/186,770.50
  6. Step 6: Final answer
    x = 855,745.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.