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Finding the Third Proportional to 169,006.50 and 263,209.50

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Solution

The third proportional to 169,006.50 and 263,209.50 is: 409,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,006.50 : 263,209.50 = 263,209.50 : x
  2. Step 2: Convert to fraction form
    169,006.50/263,209.50 = 263,209.50/x
  3. Step 3: Cross multiply
    169,006.50x = 263,209.50 × 263,209.50
  4. Step 4: Simplify right side
    169,006.50x = 69,279,240,890.25
  5. Step 5: Solve for x
    x = 69,279,240,890.25/169,006.50
  6. Step 6: Final answer
    x = 409,920.57

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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.