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Finding the Third Proportional to 180,341 and 385,698

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Solution

The third proportional to 180,341 and 385,698 is: 824,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,341 : 385,698 = 385,698 : x
  2. Step 2: Convert to fraction form
    180,341/385,698 = 385,698/x
  3. Step 3: Cross multiply
    180,341x = 385,698 × 385,698
  4. Step 4: Simplify right side
    180,341x = 148,762,947,204
  5. Step 5: Solve for x
    x = 148,762,947,204/180,341
  6. Step 6: Final answer
    x = 824,898.09

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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.