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Finding the Third Proportional to 186,502 and 399,181

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Solution

The third proportional to 186,502 and 399,181 is: 854,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,502 : 399,181 = 399,181 : x
  2. Step 2: Convert to fraction form
    186,502/399,181 = 399,181/x
  3. Step 3: Cross multiply
    186,502x = 399,181 × 399,181
  4. Step 4: Simplify right side
    186,502x = 159,345,470,761
  5. Step 5: Solve for x
    x = 159,345,470,761/186,502
  6. Step 6: Final answer
    x = 854,390.14

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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.