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Finding the Third Proportional to 187,771.50 and 417,521.25

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Solution

The third proportional to 187,771.50 and 417,521.25 is: 928,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,771.50 : 417,521.25 = 417,521.25 : x
  2. Step 2: Convert to fraction form
    187,771.50/417,521.25 = 417,521.25/x
  3. Step 3: Cross multiply
    187,771.50x = 417,521.25 × 417,521.25
  4. Step 4: Simplify right side
    187,771.50x = 174,323,994,201.56
  5. Step 5: Solve for x
    x = 174,323,994,201.56/187,771.50
  6. Step 6: Final answer
    x = 928,383.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.