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Finding the Third Proportional to 180,340 and 385,695

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Solution

The third proportional to 180,340 and 385,695 is: 824,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,340 : 385,695 = 385,695 : x
  2. Step 2: Convert to fraction form
    180,340/385,695 = 385,695/x
  3. Step 3: Cross multiply
    180,340x = 385,695 × 385,695
  4. Step 4: Simplify right side
    180,340x = 148,760,633,025
  5. Step 5: Solve for x
    x = 148,760,633,025/180,340
  6. Step 6: Final answer
    x = 824,889.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.