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Finding the Third Proportional to 180,303 and 384,738

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Solution

The third proportional to 180,303 and 384,738 is: 820,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,303 : 384,738 = 384,738 : x
  2. Step 2: Convert to fraction form
    180,303/384,738 = 384,738/x
  3. Step 3: Cross multiply
    180,303x = 384,738 × 384,738
  4. Step 4: Simplify right side
    180,303x = 148,023,328,644
  5. Step 5: Solve for x
    x = 148,023,328,644/180,303
  6. Step 6: Final answer
    x = 820,969.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.