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Finding the Third Proportional to 161,864.81 and 378,063.56

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Solution

The third proportional to 161,864.81 and 378,063.56 is: 883,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,864.81 : 378,063.56 = 378,063.56 : x
  2. Step 2: Convert to fraction form
    161,864.81/378,063.56 = 378,063.56/x
  3. Step 3: Cross multiply
    161,864.81x = 378,063.56 × 378,063.56
  4. Step 4: Simplify right side
    161,864.81x = 142,932,057,290.19
  5. Step 5: Solve for x
    x = 142,932,057,290.19/161,864.81
  6. Step 6: Final answer
    x = 883,033.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.