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Finding the Third Proportional to 188,506 and 398,828

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Solution

The third proportional to 188,506 and 398,828 is: 843,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,506 : 398,828 = 398,828 : x
  2. Step 2: Convert to fraction form
    188,506/398,828 = 398,828/x
  3. Step 3: Cross multiply
    188,506x = 398,828 × 398,828
  4. Step 4: Simplify right side
    188,506x = 159,063,773,584
  5. Step 5: Solve for x
    x = 159,063,773,584/188,506
  6. Step 6: Final answer
    x = 843,812.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.