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Finding the Third Proportional to 185,760 and 393,600

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Solution

The third proportional to 185,760 and 393,600 is: 833,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,760 : 393,600 = 393,600 : x
  2. Step 2: Convert to fraction form
    185,760/393,600 = 393,600/x
  3. Step 3: Cross multiply
    185,760x = 393,600 × 393,600
  4. Step 4: Simplify right side
    185,760x = 154,920,960,000
  5. Step 5: Solve for x
    x = 154,920,960,000/185,760
  6. Step 6: Final answer
    x = 833,984.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.