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Finding the Third Proportional to 174,328 and 377,991

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Solution

The third proportional to 174,328 and 377,991 is: 819,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,328 : 377,991 = 377,991 : x
  2. Step 2: Convert to fraction form
    174,328/377,991 = 377,991/x
  3. Step 3: Cross multiply
    174,328x = 377,991 × 377,991
  4. Step 4: Simplify right side
    174,328x = 142,877,196,081
  5. Step 5: Solve for x
    x = 142,877,196,081/174,328
  6. Step 6: Final answer
    x = 819,588.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.