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Finding the Third Proportional to 186,165 and 294,921

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Solution

The third proportional to 186,165 and 294,921 is: 467,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,165 : 294,921 = 294,921 : x
  2. Step 2: Convert to fraction form
    186,165/294,921 = 294,921/x
  3. Step 3: Cross multiply
    186,165x = 294,921 × 294,921
  4. Step 4: Simplify right side
    186,165x = 86,978,396,241
  5. Step 5: Solve for x
    x = 86,978,396,241/186,165
  6. Step 6: Final answer
    x = 467,211.32

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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.