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Finding the Third Proportional to 116,645.63 and 245,742.75

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Solution

The third proportional to 116,645.63 and 245,742.75 is: 517,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,645.63 : 245,742.75 = 245,742.75 : x
  2. Step 2: Convert to fraction form
    116,645.63/245,742.75 = 245,742.75/x
  3. Step 3: Cross multiply
    116,645.63x = 245,742.75 × 245,742.75
  4. Step 4: Simplify right side
    116,645.63x = 60,389,499,177.56
  5. Step 5: Solve for x
    x = 60,389,499,177.56/116,645.63
  6. Step 6: Final answer
    x = 517,717.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.