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Finding the Third Proportional to 159,023.25 and 340,108.88

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Solution

The third proportional to 159,023.25 and 340,108.88 is: 727,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,023.25 : 340,108.88 = 340,108.88 : x
  2. Step 2: Convert to fraction form
    159,023.25/340,108.88 = 340,108.88/x
  3. Step 3: Cross multiply
    159,023.25x = 340,108.88 × 340,108.88
  4. Step 4: Simplify right side
    159,023.25x = 115,674,046,853.77
  5. Step 5: Solve for x
    x = 115,674,046,853.77/159,023.25
  6. Step 6: Final answer
    x = 727,403.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.