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Finding the Third Proportional to 154,796.75 and 340,037.50

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Solution

The third proportional to 154,796.75 and 340,037.50 is: 746,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,796.75 : 340,037.50 = 340,037.50 : x
  2. Step 2: Convert to fraction form
    154,796.75/340,037.50 = 340,037.50/x
  3. Step 3: Cross multiply
    154,796.75x = 340,037.50 × 340,037.50
  4. Step 4: Simplify right side
    154,796.75x = 115,625,501,406.25
  5. Step 5: Solve for x
    x = 115,625,501,406.25/154,796.75
  6. Step 6: Final answer
    x = 746,950.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.