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Finding the Third Proportional to 188,918 and 292,467

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Solution

The third proportional to 188,918 and 292,467 is: 452,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,918 : 292,467 = 292,467 : x
  2. Step 2: Convert to fraction form
    188,918/292,467 = 292,467/x
  3. Step 3: Cross multiply
    188,918x = 292,467 × 292,467
  4. Step 4: Simplify right side
    188,918x = 85,536,946,089
  5. Step 5: Solve for x
    x = 85,536,946,089/188,918
  6. Step 6: Final answer
    x = 452,772.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.