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Finding the Third Proportional to 161,640 and 333,234

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Solution

The third proportional to 161,640 and 333,234 is: 686,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,640 : 333,234 = 333,234 : x
  2. Step 2: Convert to fraction form
    161,640/333,234 = 333,234/x
  3. Step 3: Cross multiply
    161,640x = 333,234 × 333,234
  4. Step 4: Simplify right side
    161,640x = 111,044,898,756
  5. Step 5: Solve for x
    x = 111,044,898,756/161,640
  6. Step 6: Final answer
    x = 686,988.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.