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Finding the Third Proportional to 188,086 and 288,033

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Solution

The third proportional to 188,086 and 288,033 is: 441,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,086 : 288,033 = 288,033 : x
  2. Step 2: Convert to fraction form
    188,086/288,033 = 288,033/x
  3. Step 3: Cross multiply
    188,086x = 288,033 × 288,033
  4. Step 4: Simplify right side
    188,086x = 82,963,009,089
  5. Step 5: Solve for x
    x = 82,963,009,089/188,086
  6. Step 6: Final answer
    x = 441,090.83

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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.