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Finding the Third Proportional to 102,498.75 and 225,176.25

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Solution

The third proportional to 102,498.75 and 225,176.25 is: 494,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.75 : 225,176.25 = 225,176.25 : x
  2. Step 2: Convert to fraction form
    102,498.75/225,176.25 = 225,176.25/x
  3. Step 3: Cross multiply
    102,498.75x = 225,176.25 × 225,176.25
  4. Step 4: Simplify right side
    102,498.75x = 50,704,343,564.06
  5. Step 5: Solve for x
    x = 50,704,343,564.06/102,498.75
  6. Step 6: Final answer
    x = 494,682.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.