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Finding the Third Proportional to 258,538.50 and 372,367.13

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Solution

The third proportional to 258,538.50 and 372,367.13 is: 536,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,538.50 : 372,367.13 = 372,367.13 : x
  2. Step 2: Convert to fraction form
    258,538.50/372,367.13 = 372,367.13/x
  3. Step 3: Cross multiply
    258,538.50x = 372,367.13 × 372,367.13
  4. Step 4: Simplify right side
    258,538.50x = 138,657,275,780.77
  5. Step 5: Solve for x
    x = 138,657,275,780.77/258,538.50
  6. Step 6: Final answer
    x = 536,311.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.