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Finding the Third Proportional to 229,782 and 344,916

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Solution

The third proportional to 229,782 and 344,916 is: 517,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,782 : 344,916 = 344,916 : x
  2. Step 2: Convert to fraction form
    229,782/344,916 = 344,916/x
  3. Step 3: Cross multiply
    229,782x = 344,916 × 344,916
  4. Step 4: Simplify right side
    229,782x = 118,967,047,056
  5. Step 5: Solve for x
    x = 118,967,047,056/229,782
  6. Step 6: Final answer
    x = 517,738.76

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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.