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Finding the Third Proportional to 233,296.50 and 361,932.75

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Solution

The third proportional to 233,296.50 and 361,932.75 is: 561,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296.50 : 361,932.75 = 361,932.75 : x
  2. Step 2: Convert to fraction form
    233,296.50/361,932.75 = 361,932.75/x
  3. Step 3: Cross multiply
    233,296.50x = 361,932.75 × 361,932.75
  4. Step 4: Simplify right side
    233,296.50x = 130,995,315,522.56
  5. Step 5: Solve for x
    x = 130,995,315,522.56/233,296.50
  6. Step 6: Final answer
    x = 561,497.13

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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.