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Finding the Third Proportional to 227,106.28 and 409,811.91

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Solution

The third proportional to 227,106.28 and 409,811.91 is: 739,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,106.28 : 409,811.91 = 409,811.91 : x
  2. Step 2: Convert to fraction form
    227,106.28/409,811.91 = 409,811.91/x
  3. Step 3: Cross multiply
    227,106.28x = 409,811.91 × 409,811.91
  4. Step 4: Simplify right side
    227,106.28x = 167,945,798,504.26
  5. Step 5: Solve for x
    x = 167,945,798,504.26/227,106.28
  6. Step 6: Final answer
    x = 739,503.10

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.