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Finding the Third Proportional to 225,880.88 and 301,134.38

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Solution

The third proportional to 225,880.88 and 301,134.38 is: 401,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,880.88 : 301,134.38 = 301,134.38 : x
  2. Step 2: Convert to fraction form
    225,880.88/301,134.38 = 301,134.38/x
  3. Step 3: Cross multiply
    225,880.88x = 301,134.38 × 301,134.38
  4. Step 4: Simplify right side
    225,880.88x = 90,681,911,806.64
  5. Step 5: Solve for x
    x = 90,681,911,806.64/225,880.88
  6. Step 6: Final answer
    x = 401,459.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.