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Finding the Third Proportional to 169,735 and 372,086

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Solution

The third proportional to 169,735 and 372,086 is: 815,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,735 : 372,086 = 372,086 : x
  2. Step 2: Convert to fraction form
    169,735/372,086 = 372,086/x
  3. Step 3: Cross multiply
    169,735x = 372,086 × 372,086
  4. Step 4: Simplify right side
    169,735x = 138,447,991,396
  5. Step 5: Solve for x
    x = 138,447,991,396/169,735
  6. Step 6: Final answer
    x = 815,671.44

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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.