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Finding the Third Proportional to 186,340 and 413,960

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Solution

The third proportional to 186,340 and 413,960 is: 919,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,340 : 413,960 = 413,960 : x
  2. Step 2: Convert to fraction form
    186,340/413,960 = 413,960/x
  3. Step 3: Cross multiply
    186,340x = 413,960 × 413,960
  4. Step 4: Simplify right side
    186,340x = 171,362,881,600
  5. Step 5: Solve for x
    x = 171,362,881,600/186,340
  6. Step 6: Final answer
    x = 919,624.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.