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Finding the Third Proportional to 155,853.75 and 340,866.75

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Solution

The third proportional to 155,853.75 and 340,866.75 is: 745,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,853.75 : 340,866.75 = 340,866.75 : x
  2. Step 2: Convert to fraction form
    155,853.75/340,866.75 = 340,866.75/x
  3. Step 3: Cross multiply
    155,853.75x = 340,866.75 × 340,866.75
  4. Step 4: Simplify right side
    155,853.75x = 116,190,141,255.56
  5. Step 5: Solve for x
    x = 116,190,141,255.56/155,853.75
  6. Step 6: Final answer
    x = 745,507.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.