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Finding the Third Proportional to 174,146 and 355,673

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Solution

The third proportional to 174,146 and 355,673 is: 726,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,146 : 355,673 = 355,673 : x
  2. Step 2: Convert to fraction form
    174,146/355,673 = 355,673/x
  3. Step 3: Cross multiply
    174,146x = 355,673 × 355,673
  4. Step 4: Simplify right side
    174,146x = 126,503,282,929
  5. Step 5: Solve for x
    x = 126,503,282,929/174,146
  6. Step 6: Final answer
    x = 726,420.84

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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.