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Finding the Third Proportional to 174,995 and 271,484

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Solution

The third proportional to 174,995 and 271,484 is: 421,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,995 : 271,484 = 271,484 : x
  2. Step 2: Convert to fraction form
    174,995/271,484 = 271,484/x
  3. Step 3: Cross multiply
    174,995x = 271,484 × 271,484
  4. Step 4: Simplify right side
    174,995x = 73,703,562,256
  5. Step 5: Solve for x
    x = 73,703,562,256/174,995
  6. Step 6: Final answer
    x = 421,175.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.