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Finding the Third Proportional to 186,897 and 398,259

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Solution

The third proportional to 186,897 and 398,259 is: 848,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897 : 398,259 = 398,259 : x
  2. Step 2: Convert to fraction form
    186,897/398,259 = 398,259/x
  3. Step 3: Cross multiply
    186,897x = 398,259 × 398,259
  4. Step 4: Simplify right side
    186,897x = 158,610,231,081
  5. Step 5: Solve for x
    x = 158,610,231,081/186,897
  6. Step 6: Final answer
    x = 848,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.