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Finding the Third Proportional to 186,020 and 401,992

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Solution

The third proportional to 186,020 and 401,992 is: 868,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,020 : 401,992 = 401,992 : x
  2. Step 2: Convert to fraction form
    186,020/401,992 = 401,992/x
  3. Step 3: Cross multiply
    186,020x = 401,992 × 401,992
  4. Step 4: Simplify right side
    186,020x = 161,597,568,064
  5. Step 5: Solve for x
    x = 161,597,568,064/186,020
  6. Step 6: Final answer
    x = 868,710.72

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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.