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Finding the Third Proportional to 171,748 and 372,083

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Solution

The third proportional to 171,748 and 372,083 is: 806,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,748 : 372,083 = 372,083 : x
  2. Step 2: Convert to fraction form
    171,748/372,083 = 372,083/x
  3. Step 3: Cross multiply
    171,748x = 372,083 × 372,083
  4. Step 4: Simplify right side
    171,748x = 138,445,758,889
  5. Step 5: Solve for x
    x = 138,445,758,889/171,748
  6. Step 6: Final answer
    x = 806,098.23

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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.