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Finding the Third Proportional to 231,255 and 346,889.25

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Solution

The third proportional to 231,255 and 346,889.25 is: 520,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,255 : 346,889.25 = 346,889.25 : x
  2. Step 2: Convert to fraction form
    231,255/346,889.25 = 346,889.25/x
  3. Step 3: Cross multiply
    231,255x = 346,889.25 × 346,889.25
  4. Step 4: Simplify right side
    231,255x = 120,332,151,765.56
  5. Step 5: Solve for x
    x = 120,332,151,765.56/231,255
  6. Step 6: Final answer
    x = 520,344.00

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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.