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Finding the Third Proportional to 188,756 and 407,032

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Solution

The third proportional to 188,756 and 407,032 is: 877,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,756 : 407,032 = 407,032 : x
  2. Step 2: Convert to fraction form
    188,756/407,032 = 407,032/x
  3. Step 3: Cross multiply
    188,756x = 407,032 × 407,032
  4. Step 4: Simplify right side
    188,756x = 165,675,049,024
  5. Step 5: Solve for x
    x = 165,675,049,024/188,756
  6. Step 6: Final answer
    x = 877,720.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.