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Finding the Third Proportional to 174,154.50 and 355,689

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Solution

The third proportional to 174,154.50 and 355,689 is: 726,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,154.50 : 355,689 = 355,689 : x
  2. Step 2: Convert to fraction form
    174,154.50/355,689 = 355,689/x
  3. Step 3: Cross multiply
    174,154.50x = 355,689 × 355,689
  4. Step 4: Simplify right side
    174,154.50x = 126,514,664,721
  5. Step 5: Solve for x
    x = 126,514,664,721/174,154.50
  6. Step 6: Final answer
    x = 726,450.74

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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.