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Finding the Third Proportional to 182,172 and 373,344

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Solution

The third proportional to 182,172 and 373,344 is: 765,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,172 : 373,344 = 373,344 : x
  2. Step 2: Convert to fraction form
    182,172/373,344 = 373,344/x
  3. Step 3: Cross multiply
    182,172x = 373,344 × 373,344
  4. Step 4: Simplify right side
    182,172x = 139,385,742,336
  5. Step 5: Solve for x
    x = 139,385,742,336/182,172
  6. Step 6: Final answer
    x = 765,132.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.