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Finding the Third Proportional to 188,168 and 288,248

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Solution

The third proportional to 188,168 and 288,248 is: 441,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,168 : 288,248 = 288,248 : x
  2. Step 2: Convert to fraction form
    188,168/288,248 = 288,248/x
  3. Step 3: Cross multiply
    188,168x = 288,248 × 288,248
  4. Step 4: Simplify right side
    188,168x = 83,086,909,504
  5. Step 5: Solve for x
    x = 83,086,909,504/188,168
  6. Step 6: Final answer
    x = 441,557.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.