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Finding the Third Proportional to 188,690 and 412,372

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Solution

The third proportional to 188,690 and 412,372 is: 901,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,690 : 412,372 = 412,372 : x
  2. Step 2: Convert to fraction form
    188,690/412,372 = 412,372/x
  3. Step 3: Cross multiply
    188,690x = 412,372 × 412,372
  4. Step 4: Simplify right side
    188,690x = 170,050,666,384
  5. Step 5: Solve for x
    x = 170,050,666,384/188,690
  6. Step 6: Final answer
    x = 901,217.16

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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.