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Finding the Third Proportional to 171,315 and 372,033

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Solution

The third proportional to 171,315 and 372,033 is: 807,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,315 : 372,033 = 372,033 : x
  2. Step 2: Convert to fraction form
    171,315/372,033 = 372,033/x
  3. Step 3: Cross multiply
    171,315x = 372,033 × 372,033
  4. Step 4: Simplify right side
    171,315x = 138,408,553,089
  5. Step 5: Solve for x
    x = 138,408,553,089/171,315
  6. Step 6: Final answer
    x = 807,918.47

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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.