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Finding the Third Proportional to 186,591 and 402,666

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Solution

The third proportional to 186,591 and 402,666 is: 868,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,591 : 402,666 = 402,666 : x
  2. Step 2: Convert to fraction form
    186,591/402,666 = 402,666/x
  3. Step 3: Cross multiply
    186,591x = 402,666 × 402,666
  4. Step 4: Simplify right side
    186,591x = 162,139,907,556
  5. Step 5: Solve for x
    x = 162,139,907,556/186,591
  6. Step 6: Final answer
    x = 868,958.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.