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Finding the Third Proportional to 159,069.09 and 340,908.47

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Solution

The third proportional to 159,069.09 and 340,908.47 is: 730,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,069.09 : 340,908.47 = 340,908.47 : x
  2. Step 2: Convert to fraction form
    159,069.09/340,908.47 = 340,908.47/x
  3. Step 3: Cross multiply
    159,069.09x = 340,908.47 × 340,908.47
  4. Step 4: Simplify right side
    159,069.09x = 116,218,584,065.47
  5. Step 5: Solve for x
    x = 116,218,584,065.47/159,069.09
  6. Step 6: Final answer
    x = 730,617.00

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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.