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Finding the Third Proportional to 355,182.50 and 541,638.50

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Solution

The third proportional to 355,182.50 and 541,638.50 is: 825,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,182.50 : 541,638.50 = 541,638.50 : x
  2. Step 2: Convert to fraction form
    355,182.50/541,638.50 = 541,638.50/x
  3. Step 3: Cross multiply
    355,182.50x = 541,638.50 × 541,638.50
  4. Step 4: Simplify right side
    355,182.50x = 293,372,264,682.25
  5. Step 5: Solve for x
    x = 293,372,264,682.25/355,182.50
  6. Step 6: Final answer
    x = 825,976.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.