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Finding the Third Proportional to 171,412 and 372,307

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Solution

The third proportional to 171,412 and 372,307 is: 808,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,412 : 372,307 = 372,307 : x
  2. Step 2: Convert to fraction form
    171,412/372,307 = 372,307/x
  3. Step 3: Cross multiply
    171,412x = 372,307 × 372,307
  4. Step 4: Simplify right side
    171,412x = 138,612,502,249
  5. Step 5: Solve for x
    x = 138,612,502,249/171,412
  6. Step 6: Final answer
    x = 808,651.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.