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Finding the Third Proportional to 232,505.44 and 340,454.39

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Solution

The third proportional to 232,505.44 and 340,454.39 is: 498,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,505.44 : 340,454.39 = 340,454.39 : x
  2. Step 2: Convert to fraction form
    232,505.44/340,454.39 = 340,454.39/x
  3. Step 3: Cross multiply
    232,505.44x = 340,454.39 × 340,454.39
  4. Step 4: Simplify right side
    232,505.44x = 115,909,192,095.84
  5. Step 5: Solve for x
    x = 115,909,192,095.84/232,505.44
  6. Step 6: Final answer
    x = 498,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.