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Finding the Third Proportional to 175,408.03 and 409,234.78

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Solution

The third proportional to 175,408.03 and 409,234.78 is: 954,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,408.03 : 409,234.78 = 409,234.78 : x
  2. Step 2: Convert to fraction form
    175,408.03/409,234.78 = 409,234.78/x
  3. Step 3: Cross multiply
    175,408.03x = 409,234.78 × 409,234.78
  4. Step 4: Simplify right side
    175,408.03x = 167,473,106,184.74
  5. Step 5: Solve for x
    x = 167,473,106,184.74/175,408.03
  6. Step 6: Final answer
    x = 954,763.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.