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Finding the Third Proportional to 117,535.50 and 176,301.75

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Solution

The third proportional to 117,535.50 and 176,301.75 is: 264,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,535.50 : 176,301.75 = 176,301.75 : x
  2. Step 2: Convert to fraction form
    117,535.50/176,301.75 = 176,301.75/x
  3. Step 3: Cross multiply
    117,535.50x = 176,301.75 × 176,301.75
  4. Step 4: Simplify right side
    117,535.50x = 31,082,307,053.06
  5. Step 5: Solve for x
    x = 31,082,307,053.06/117,535.50
  6. Step 6: Final answer
    x = 264,450.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.