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Finding the Third Proportional to 188,488 and 410,268

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Solution

The third proportional to 188,488 and 410,268 is: 893,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,488 : 410,268 = 410,268 : x
  2. Step 2: Convert to fraction form
    188,488/410,268 = 410,268/x
  3. Step 3: Cross multiply
    188,488x = 410,268 × 410,268
  4. Step 4: Simplify right side
    188,488x = 168,319,831,824
  5. Step 5: Solve for x
    x = 168,319,831,824/188,488
  6. Step 6: Final answer
    x = 893,000.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.