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Finding the Third Proportional to 186,199 and 398,640

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Solution

The third proportional to 186,199 and 398,640 is: 853,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,199 : 398,640 = 398,640 : x
  2. Step 2: Convert to fraction form
    186,199/398,640 = 398,640/x
  3. Step 3: Cross multiply
    186,199x = 398,640 × 398,640
  4. Step 4: Simplify right side
    186,199x = 158,913,849,600
  5. Step 5: Solve for x
    x = 158,913,849,600/186,199
  6. Step 6: Final answer
    x = 853,462.42

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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.