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Finding the Third Proportional to 188,842 and 402,956

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Solution

The third proportional to 188,842 and 402,956 is: 859,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842 : 402,956 = 402,956 : x
  2. Step 2: Convert to fraction form
    188,842/402,956 = 402,956/x
  3. Step 3: Cross multiply
    188,842x = 402,956 × 402,956
  4. Step 4: Simplify right side
    188,842x = 162,373,537,936
  5. Step 5: Solve for x
    x = 162,373,537,936/188,842
  6. Step 6: Final answer
    x = 859,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.