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Finding the Third Proportional to 186,021 and 403,753

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Solution

The third proportional to 186,021 and 403,753 is: 876,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,021 : 403,753 = 403,753 : x
  2. Step 2: Convert to fraction form
    186,021/403,753 = 403,753/x
  3. Step 3: Cross multiply
    186,021x = 403,753 × 403,753
  4. Step 4: Simplify right side
    186,021x = 163,016,485,009
  5. Step 5: Solve for x
    x = 163,016,485,009/186,021
  6. Step 6: Final answer
    x = 876,333.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.