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Finding the Third Proportional to 185,964 and 381,732

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Solution

The third proportional to 185,964 and 381,732 is: 783,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,964 : 381,732 = 381,732 : x
  2. Step 2: Convert to fraction form
    185,964/381,732 = 381,732/x
  3. Step 3: Cross multiply
    185,964x = 381,732 × 381,732
  4. Step 4: Simplify right side
    185,964x = 145,719,319,824
  5. Step 5: Solve for x
    x = 145,719,319,824/185,964
  6. Step 6: Final answer
    x = 783,588.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.