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Finding the Third Proportional to 169,733 and 372,082

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Solution

The third proportional to 169,733 and 372,082 is: 815,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,733 : 372,082 = 372,082 : x
  2. Step 2: Convert to fraction form
    169,733/372,082 = 372,082/x
  3. Step 3: Cross multiply
    169,733x = 372,082 × 372,082
  4. Step 4: Simplify right side
    169,733x = 138,445,014,724
  5. Step 5: Solve for x
    x = 138,445,014,724/169,733
  6. Step 6: Final answer
    x = 815,663.51

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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.