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Finding the Third Proportional to 151,007.63 and 226,499.63

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Solution

The third proportional to 151,007.63 and 226,499.63 is: 339,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,007.63 : 226,499.63 = 226,499.63 : x
  2. Step 2: Convert to fraction form
    151,007.63/226,499.63 = 226,499.63/x
  3. Step 3: Cross multiply
    151,007.63x = 226,499.63 × 226,499.63
  4. Step 4: Simplify right side
    151,007.63x = 51,302,080,125.14
  5. Step 5: Solve for x
    x = 51,302,080,125.14/151,007.63
  6. Step 6: Final answer
    x = 339,731.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.