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Finding the Third Proportional to 190,614.52 and 397,030.36

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Solution

The third proportional to 190,614.52 and 397,030.36 is: 826,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,614.52 : 397,030.36 = 397,030.36 : x
  2. Step 2: Convert to fraction form
    190,614.52/397,030.36 = 397,030.36/x
  3. Step 3: Cross multiply
    190,614.52x = 397,030.36 × 397,030.36
  4. Step 4: Simplify right side
    190,614.52x = 157,633,106,265.44
  5. Step 5: Solve for x
    x = 157,633,106,265.44/190,614.52
  6. Step 6: Final answer
    x = 826,973.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.