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Finding the Third Proportional to 171,044 and 374,272

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Solution

The third proportional to 171,044 and 374,272 is: 818,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,044 : 374,272 = 374,272 : x
  2. Step 2: Convert to fraction form
    171,044/374,272 = 374,272/x
  3. Step 3: Cross multiply
    171,044x = 374,272 × 374,272
  4. Step 4: Simplify right side
    171,044x = 140,079,529,984
  5. Step 5: Solve for x
    x = 140,079,529,984/171,044
  6. Step 6: Final answer
    x = 818,967.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.