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Finding the Third Proportional to 171,636 and 373,785

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Solution

The third proportional to 171,636 and 373,785 is: 814,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,636 : 373,785 = 373,785 : x
  2. Step 2: Convert to fraction form
    171,636/373,785 = 373,785/x
  3. Step 3: Cross multiply
    171,636x = 373,785 × 373,785
  4. Step 4: Simplify right side
    171,636x = 139,715,226,225
  5. Step 5: Solve for x
    x = 139,715,226,225/171,636
  6. Step 6: Final answer
    x = 814,020.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.