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Finding the Third Proportional to 171,713 and 372,010

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Solution

The third proportional to 171,713 and 372,010 is: 805,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,713 : 372,010 = 372,010 : x
  2. Step 2: Convert to fraction form
    171,713/372,010 = 372,010/x
  3. Step 3: Cross multiply
    171,713x = 372,010 × 372,010
  4. Step 4: Simplify right side
    171,713x = 138,391,440,100
  5. Step 5: Solve for x
    x = 138,391,440,100/171,713
  6. Step 6: Final answer
    x = 805,946.20

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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.