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Finding the Third Proportional to 186,703 and 294,635

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Solution

The third proportional to 186,703 and 294,635 is: 464,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,703 : 294,635 = 294,635 : x
  2. Step 2: Convert to fraction form
    186,703/294,635 = 294,635/x
  3. Step 3: Cross multiply
    186,703x = 294,635 × 294,635
  4. Step 4: Simplify right side
    186,703x = 86,809,783,225
  5. Step 5: Solve for x
    x = 86,809,783,225/186,703
  6. Step 6: Final answer
    x = 464,961.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.