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Finding the Third Proportional to 233,576 and 361,254

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Solution

The third proportional to 233,576 and 361,254 is: 558,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,576 : 361,254 = 361,254 : x
  2. Step 2: Convert to fraction form
    233,576/361,254 = 361,254/x
  3. Step 3: Cross multiply
    233,576x = 361,254 × 361,254
  4. Step 4: Simplify right side
    233,576x = 130,504,452,516
  5. Step 5: Solve for x
    x = 130,504,452,516/233,576
  6. Step 6: Final answer
    x = 558,723.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.