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Finding the Third Proportional to 225,623.25 and 338,484.38

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Solution

The third proportional to 225,623.25 and 338,484.38 is: 507,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,623.25 : 338,484.38 = 338,484.38 : x
  2. Step 2: Convert to fraction form
    225,623.25/338,484.38 = 338,484.38/x
  3. Step 3: Cross multiply
    225,623.25x = 338,484.38 × 338,484.38
  4. Step 4: Simplify right side
    225,623.25x = 114,571,672,119.14
  5. Step 5: Solve for x
    x = 114,571,672,119.14/225,623.25
  6. Step 6: Final answer
    x = 507,800.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.