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Finding the Third Proportional to 169,742 and 372,126.75

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Solution

The third proportional to 169,742 and 372,126.75 is: 815,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,742 : 372,126.75 = 372,126.75 : x
  2. Step 2: Convert to fraction form
    169,742/372,126.75 = 372,126.75/x
  3. Step 3: Cross multiply
    169,742x = 372,126.75 × 372,126.75
  4. Step 4: Simplify right side
    169,742x = 138,478,318,065.56
  5. Step 5: Solve for x
    x = 138,478,318,065.56/169,742
  6. Step 6: Final answer
    x = 815,816.46

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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.