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Finding the Third Proportional to 186,333 and 402,170

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Solution

The third proportional to 186,333 and 402,170 is: 868,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,333 : 402,170 = 402,170 : x
  2. Step 2: Convert to fraction form
    186,333/402,170 = 402,170/x
  3. Step 3: Cross multiply
    186,333x = 402,170 × 402,170
  4. Step 4: Simplify right side
    186,333x = 161,740,708,900
  5. Step 5: Solve for x
    x = 161,740,708,900/186,333
  6. Step 6: Final answer
    x = 868,019.67

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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.