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Finding the Third Proportional to 169,504 and 230,205.50

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Solution

The third proportional to 169,504 and 230,205.50 is: 312,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,504 : 230,205.50 = 230,205.50 : x
  2. Step 2: Convert to fraction form
    169,504/230,205.50 = 230,205.50/x
  3. Step 3: Cross multiply
    169,504x = 230,205.50 × 230,205.50
  4. Step 4: Simplify right side
    169,504x = 52,994,572,230.25
  5. Step 5: Solve for x
    x = 52,994,572,230.25/169,504
  6. Step 6: Final answer
    x = 312,644.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.