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Finding the Third Proportional to 174,670 and 355,762

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Solution

The third proportional to 174,670 and 355,762 is: 724,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,670 : 355,762 = 355,762 : x
  2. Step 2: Convert to fraction form
    174,670/355,762 = 355,762/x
  3. Step 3: Cross multiply
    174,670x = 355,762 × 355,762
  4. Step 4: Simplify right side
    174,670x = 126,566,600,644
  5. Step 5: Solve for x
    x = 126,566,600,644/174,670
  6. Step 6: Final answer
    x = 724,604.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.