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Finding the Third Proportional to 185,668 and 323,700

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Solution

The third proportional to 185,668 and 323,700 is: 564,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,668 : 323,700 = 323,700 : x
  2. Step 2: Convert to fraction form
    185,668/323,700 = 323,700/x
  3. Step 3: Cross multiply
    185,668x = 323,700 × 323,700
  4. Step 4: Simplify right side
    185,668x = 104,781,690,000
  5. Step 5: Solve for x
    x = 104,781,690,000/185,668
  6. Step 6: Final answer
    x = 564,349.75

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.