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Finding the Third Proportional to 174,912 and 377,472

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Solution

The third proportional to 174,912 and 377,472 is: 814,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 377,472 = 377,472 : x
  2. Step 2: Convert to fraction form
    174,912/377,472 = 377,472/x
  3. Step 3: Cross multiply
    174,912x = 377,472 × 377,472
  4. Step 4: Simplify right side
    174,912x = 142,485,110,784
  5. Step 5: Solve for x
    x = 142,485,110,784/174,912
  6. Step 6: Final answer
    x = 814,610.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.