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Finding the Third Proportional to 169,020 and 263,229.75

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Solution

The third proportional to 169,020 and 263,229.75 is: 409,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,020 : 263,229.75 = 263,229.75 : x
  2. Step 2: Convert to fraction form
    169,020/263,229.75 = 263,229.75/x
  3. Step 3: Cross multiply
    169,020x = 263,229.75 × 263,229.75
  4. Step 4: Simplify right side
    169,020x = 69,289,901,285.06
  5. Step 5: Solve for x
    x = 69,289,901,285.06/169,020
  6. Step 6: Final answer
    x = 409,950.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.