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Finding the Third Proportional to 174,006 and 366,684

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Solution

The third proportional to 174,006 and 366,684 is: 772,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,006 : 366,684 = 366,684 : x
  2. Step 2: Convert to fraction form
    174,006/366,684 = 366,684/x
  3. Step 3: Cross multiply
    174,006x = 366,684 × 366,684
  4. Step 4: Simplify right side
    174,006x = 134,457,155,856
  5. Step 5: Solve for x
    x = 134,457,155,856/174,006
  6. Step 6: Final answer
    x = 772,715.63

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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.