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Finding the Third Proportional to 227,629.13 and 342,031.50

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Solution

The third proportional to 227,629.13 and 342,031.50 is: 513,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,629.13 : 342,031.50 = 342,031.50 : x
  2. Step 2: Convert to fraction form
    227,629.13/342,031.50 = 342,031.50/x
  3. Step 3: Cross multiply
    227,629.13x = 342,031.50 × 342,031.50
  4. Step 4: Simplify right side
    227,629.13x = 116,985,546,992.25
  5. Step 5: Solve for x
    x = 116,985,546,992.25/227,629.13
  6. Step 6: Final answer
    x = 513,930.49

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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.