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Finding the Third Proportional to 188,851 and 407,863

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Solution

The third proportional to 188,851 and 407,863 is: 880,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,851 : 407,863 = 407,863 : x
  2. Step 2: Convert to fraction form
    188,851/407,863 = 407,863/x
  3. Step 3: Cross multiply
    188,851x = 407,863 × 407,863
  4. Step 4: Simplify right side
    188,851x = 166,352,226,769
  5. Step 5: Solve for x
    x = 166,352,226,769/188,851
  6. Step 6: Final answer
    x = 880,864.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.