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Finding the Third Proportional to 146,832.75 and 306,423

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Solution

The third proportional to 146,832.75 and 306,423 is: 639,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,832.75 : 306,423 = 306,423 : x
  2. Step 2: Convert to fraction form
    146,832.75/306,423 = 306,423/x
  3. Step 3: Cross multiply
    146,832.75x = 306,423 × 306,423
  4. Step 4: Simplify right side
    146,832.75x = 93,895,054,929
  5. Step 5: Solve for x
    x = 93,895,054,929/146,832.75
  6. Step 6: Final answer
    x = 639,469.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.