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Finding the Third Proportional to 188,186 and 403,660

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Solution

The third proportional to 188,186 and 403,660 is: 865,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,186 : 403,660 = 403,660 : x
  2. Step 2: Convert to fraction form
    188,186/403,660 = 403,660/x
  3. Step 3: Cross multiply
    188,186x = 403,660 × 403,660
  4. Step 4: Simplify right side
    188,186x = 162,941,395,600
  5. Step 5: Solve for x
    x = 162,941,395,600/188,186
  6. Step 6: Final answer
    x = 865,852.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.