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Finding the Third Proportional to 186,932 and 405,416

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Solution

The third proportional to 186,932 and 405,416 is: 879,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,932 : 405,416 = 405,416 : x
  2. Step 2: Convert to fraction form
    186,932/405,416 = 405,416/x
  3. Step 3: Cross multiply
    186,932x = 405,416 × 405,416
  4. Step 4: Simplify right side
    186,932x = 164,362,133,056
  5. Step 5: Solve for x
    x = 164,362,133,056/186,932
  6. Step 6: Final answer
    x = 879,261.62

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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.