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Finding the Third Proportional to 82,390.50 and 177,903

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Solution

The third proportional to 82,390.50 and 177,903 is: 384,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,390.50 : 177,903 = 177,903 : x
  2. Step 2: Convert to fraction form
    82,390.50/177,903 = 177,903/x
  3. Step 3: Cross multiply
    82,390.50x = 177,903 × 177,903
  4. Step 4: Simplify right side
    82,390.50x = 31,649,477,409
  5. Step 5: Solve for x
    x = 31,649,477,409/82,390.50
  6. Step 6: Final answer
    x = 384,139.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.