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Finding the Third Proportional to 168,725.50 and 356,423

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Solution

The third proportional to 168,725.50 and 356,423 is: 752,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,725.50 : 356,423 = 356,423 : x
  2. Step 2: Convert to fraction form
    168,725.50/356,423 = 356,423/x
  3. Step 3: Cross multiply
    168,725.50x = 356,423 × 356,423
  4. Step 4: Simplify right side
    168,725.50x = 127,037,354,929
  5. Step 5: Solve for x
    x = 127,037,354,929/168,725.50
  6. Step 6: Final answer
    x = 752,923.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.