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Finding the Third Proportional to 186,053 and 407,568

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Solution

The third proportional to 186,053 and 407,568 is: 892,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,053 : 407,568 = 407,568 : x
  2. Step 2: Convert to fraction form
    186,053/407,568 = 407,568/x
  3. Step 3: Cross multiply
    186,053x = 407,568 × 407,568
  4. Step 4: Simplify right side
    186,053x = 166,111,674,624
  5. Step 5: Solve for x
    x = 166,111,674,624/186,053
  6. Step 6: Final answer
    x = 892,819.11

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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.