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Finding the Third Proportional to 174,532 and 388,552

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Solution

The third proportional to 174,532 and 388,552 is: 865,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,532 : 388,552 = 388,552 : x
  2. Step 2: Convert to fraction form
    174,532/388,552 = 388,552/x
  3. Step 3: Cross multiply
    174,532x = 388,552 × 388,552
  4. Step 4: Simplify right side
    174,532x = 150,972,656,704
  5. Step 5: Solve for x
    x = 150,972,656,704/174,532
  6. Step 6: Final answer
    x = 865,014.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.