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Finding the Third Proportional to 186,568 and 399,730

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Solution

The third proportional to 186,568 and 399,730 is: 856,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,568 : 399,730 = 399,730 : x
  2. Step 2: Convert to fraction form
    186,568/399,730 = 399,730/x
  3. Step 3: Cross multiply
    186,568x = 399,730 × 399,730
  4. Step 4: Simplify right side
    186,568x = 159,784,072,900
  5. Step 5: Solve for x
    x = 159,784,072,900/186,568
  6. Step 6: Final answer
    x = 856,438.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.