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Finding the Third Proportional to 163,736.44 and 347,338.13

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Solution

The third proportional to 163,736.44 and 347,338.13 is: 736,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,736.44 : 347,338.13 = 347,338.13 : x
  2. Step 2: Convert to fraction form
    163,736.44/347,338.13 = 347,338.13/x
  3. Step 3: Cross multiply
    163,736.44x = 347,338.13 × 347,338.13
  4. Step 4: Simplify right side
    163,736.44x = 120,643,773,078.52
  5. Step 5: Solve for x
    x = 120,643,773,078.52/163,736.44
  6. Step 6: Final answer
    x = 736,816.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.