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Finding the Third Proportional to 145,546.88 and 231,442.31

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Solution

The third proportional to 145,546.88 and 231,442.31 is: 368,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546.88 : 231,442.31 = 231,442.31 : x
  2. Step 2: Convert to fraction form
    145,546.88/231,442.31 = 231,442.31/x
  3. Step 3: Cross multiply
    145,546.88x = 231,442.31 × 231,442.31
  4. Step 4: Simplify right side
    145,546.88x = 53,565,544,015.35
  5. Step 5: Solve for x
    x = 53,565,544,015.35/145,546.88
  6. Step 6: Final answer
    x = 368,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.