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Finding the Third Proportional to 159,912 and 370,244

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Solution

The third proportional to 159,912 and 370,244 is: 857,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,912 : 370,244 = 370,244 : x
  2. Step 2: Convert to fraction form
    159,912/370,244 = 370,244/x
  3. Step 3: Cross multiply
    159,912x = 370,244 × 370,244
  4. Step 4: Simplify right side
    159,912x = 137,080,619,536
  5. Step 5: Solve for x
    x = 137,080,619,536/159,912
  6. Step 6: Final answer
    x = 857,225.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.