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Finding the Third Proportional to 250,582.50 and 362,049.75

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Solution

The third proportional to 250,582.50 and 362,049.75 is: 523,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,582.50 : 362,049.75 = 362,049.75 : x
  2. Step 2: Convert to fraction form
    250,582.50/362,049.75 = 362,049.75/x
  3. Step 3: Cross multiply
    250,582.50x = 362,049.75 × 362,049.75
  4. Step 4: Simplify right side
    250,582.50x = 131,080,021,475.06
  5. Step 5: Solve for x
    x = 131,080,021,475.06/250,582.50
  6. Step 6: Final answer
    x = 523,101.26

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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.