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Finding the Third Proportional to 180,949.50 and 382,311

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Solution

The third proportional to 180,949.50 and 382,311 is: 807,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,949.50 : 382,311 = 382,311 : x
  2. Step 2: Convert to fraction form
    180,949.50/382,311 = 382,311/x
  3. Step 3: Cross multiply
    180,949.50x = 382,311 × 382,311
  4. Step 4: Simplify right side
    180,949.50x = 146,161,700,721
  5. Step 5: Solve for x
    x = 146,161,700,721/180,949.50
  6. Step 6: Final answer
    x = 807,748.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.