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Finding the Third Proportional to 151,644 and 232,296

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Solution

The third proportional to 151,644 and 232,296 is: 355,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,644 : 232,296 = 232,296 : x
  2. Step 2: Convert to fraction form
    151,644/232,296 = 232,296/x
  3. Step 3: Cross multiply
    151,644x = 232,296 × 232,296
  4. Step 4: Simplify right side
    151,644x = 53,961,431,616
  5. Step 5: Solve for x
    x = 53,961,431,616/151,644
  6. Step 6: Final answer
    x = 355,842.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.