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Finding the Third Proportional to 159,069.19 and 340,908.66

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Solution

The third proportional to 159,069.19 and 340,908.66 is: 730,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,069.19 : 340,908.66 = 340,908.66 : x
  2. Step 2: Convert to fraction form
    159,069.19/340,908.66 = 340,908.66/x
  3. Step 3: Cross multiply
    159,069.19x = 340,908.66 × 340,908.66
  4. Step 4: Simplify right side
    159,069.19x = 116,218,711,906.18
  5. Step 5: Solve for x
    x = 116,218,711,906.18/159,069.19
  6. Step 6: Final answer
    x = 730,617.37

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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.