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Finding the Third Proportional to 231,403.50 and 369,521.25

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Solution

The third proportional to 231,403.50 and 369,521.25 is: 590,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,403.50 : 369,521.25 = 369,521.25 : x
  2. Step 2: Convert to fraction form
    231,403.50/369,521.25 = 369,521.25/x
  3. Step 3: Cross multiply
    231,403.50x = 369,521.25 × 369,521.25
  4. Step 4: Simplify right side
    231,403.50x = 136,545,954,201.56
  5. Step 5: Solve for x
    x = 136,545,954,201.56/231,403.50
  6. Step 6: Final answer
    x = 590,077.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.