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Finding the Third Proportional to 183,424 and 372,736

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Solution

The third proportional to 183,424 and 372,736 is: 757,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,424 : 372,736 = 372,736 : x
  2. Step 2: Convert to fraction form
    183,424/372,736 = 372,736/x
  3. Step 3: Cross multiply
    183,424x = 372,736 × 372,736
  4. Step 4: Simplify right side
    183,424x = 138,932,125,696
  5. Step 5: Solve for x
    x = 138,932,125,696/183,424
  6. Step 6: Final answer
    x = 757,437.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.