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Finding the Third Proportional to 186,561 and 408,114

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Solution

The third proportional to 186,561 and 408,114 is: 892,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,561 : 408,114 = 408,114 : x
  2. Step 2: Convert to fraction form
    186,561/408,114 = 408,114/x
  3. Step 3: Cross multiply
    186,561x = 408,114 × 408,114
  4. Step 4: Simplify right side
    186,561x = 166,557,036,996
  5. Step 5: Solve for x
    x = 166,557,036,996/186,561
  6. Step 6: Final answer
    x = 892,775.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.