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Finding the Third Proportional to 174,366.50 and 369,660

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Solution

The third proportional to 174,366.50 and 369,660 is: 783,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,366.50 : 369,660 = 369,660 : x
  2. Step 2: Convert to fraction form
    174,366.50/369,660 = 369,660/x
  3. Step 3: Cross multiply
    174,366.50x = 369,660 × 369,660
  4. Step 4: Simplify right side
    174,366.50x = 136,648,515,600
  5. Step 5: Solve for x
    x = 136,648,515,600/174,366.50
  6. Step 6: Final answer
    x = 783,685.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.