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Finding the Third Proportional to 173,322.42 and 378,542.18

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Solution

The third proportional to 173,322.42 and 378,542.18 is: 826,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,322.42 : 378,542.18 = 378,542.18 : x
  2. Step 2: Convert to fraction form
    173,322.42/378,542.18 = 378,542.18/x
  3. Step 3: Cross multiply
    173,322.42x = 378,542.18 × 378,542.18
  4. Step 4: Simplify right side
    173,322.42x = 143,294,181,802.56
  5. Step 5: Solve for x
    x = 143,294,181,802.56/173,322.42
  6. Step 6: Final answer
    x = 826,749.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.