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Finding the Third Proportional to 116,935.50 and 176,460.75

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Solution

The third proportional to 116,935.50 and 176,460.75 is: 266,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,935.50 : 176,460.75 = 176,460.75 : x
  2. Step 2: Convert to fraction form
    116,935.50/176,460.75 = 176,460.75/x
  3. Step 3: Cross multiply
    116,935.50x = 176,460.75 × 176,460.75
  4. Step 4: Simplify right side
    116,935.50x = 31,138,396,290.56
  5. Step 5: Solve for x
    x = 31,138,396,290.56/116,935.50
  6. Step 6: Final answer
    x = 266,286.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.