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Finding the Third Proportional to 186,992 and 405,688

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Solution

The third proportional to 186,992 and 405,688 is: 880,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,992 : 405,688 = 405,688 : x
  2. Step 2: Convert to fraction form
    186,992/405,688 = 405,688/x
  3. Step 3: Cross multiply
    186,992x = 405,688 × 405,688
  4. Step 4: Simplify right side
    186,992x = 164,582,753,344
  5. Step 5: Solve for x
    x = 164,582,753,344/186,992
  6. Step 6: Final answer
    x = 880,159.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.