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Finding the Third Proportional to 175,186 and 397,141

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Solution

The third proportional to 175,186 and 397,141 is: 900,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,186 : 397,141 = 397,141 : x
  2. Step 2: Convert to fraction form
    175,186/397,141 = 397,141/x
  3. Step 3: Cross multiply
    175,186x = 397,141 × 397,141
  4. Step 4: Simplify right side
    175,186x = 157,720,973,881
  5. Step 5: Solve for x
    x = 157,720,973,881/175,186
  6. Step 6: Final answer
    x = 900,305.81

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.