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Finding the Third Proportional to 186,174 and 287,685

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Solution

The third proportional to 186,174 and 287,685 is: 444,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,174 : 287,685 = 287,685 : x
  2. Step 2: Convert to fraction form
    186,174/287,685 = 287,685/x
  3. Step 3: Cross multiply
    186,174x = 287,685 × 287,685
  4. Step 4: Simplify right side
    186,174x = 82,762,659,225
  5. Step 5: Solve for x
    x = 82,762,659,225/186,174
  6. Step 6: Final answer
    x = 444,544.67

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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.