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Finding the Third Proportional to 225,880.88 and 349,756.88

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Solution

The third proportional to 225,880.88 and 349,756.88 is: 541,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,880.88 : 349,756.88 = 349,756.88 : x
  2. Step 2: Convert to fraction form
    225,880.88/349,756.88 = 349,756.88/x
  3. Step 3: Cross multiply
    225,880.88x = 349,756.88 × 349,756.88
  4. Step 4: Simplify right side
    225,880.88x = 122,329,871,609.77
  5. Step 5: Solve for x
    x = 122,329,871,609.77/225,880.88
  6. Step 6: Final answer
    x = 541,568.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.