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Finding the Third Proportional to 169,674.75 and 355,873.50

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Solution

The third proportional to 169,674.75 and 355,873.50 is: 746,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,674.75 : 355,873.50 = 355,873.50 : x
  2. Step 2: Convert to fraction form
    169,674.75/355,873.50 = 355,873.50/x
  3. Step 3: Cross multiply
    169,674.75x = 355,873.50 × 355,873.50
  4. Step 4: Simplify right side
    169,674.75x = 126,645,948,002.25
  5. Step 5: Solve for x
    x = 126,645,948,002.25/169,674.75
  6. Step 6: Final answer
    x = 746,404.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.