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Finding the Third Proportional to 186,201 and 398,644

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Solution

The third proportional to 186,201 and 398,644 is: 853,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,201 : 398,644 = 398,644 : x
  2. Step 2: Convert to fraction form
    186,201/398,644 = 398,644/x
  3. Step 3: Cross multiply
    186,201x = 398,644 × 398,644
  4. Step 4: Simplify right side
    186,201x = 158,917,038,736
  5. Step 5: Solve for x
    x = 158,917,038,736/186,201
  6. Step 6: Final answer
    x = 853,470.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.