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Finding the Third Proportional to 271,179 and 387,400.50

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Solution

The third proportional to 271,179 and 387,400.50 is: 553,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,179 : 387,400.50 = 387,400.50 : x
  2. Step 2: Convert to fraction form
    271,179/387,400.50 = 387,400.50/x
  3. Step 3: Cross multiply
    271,179x = 387,400.50 × 387,400.50
  4. Step 4: Simplify right side
    271,179x = 150,079,147,400.25
  5. Step 5: Solve for x
    x = 150,079,147,400.25/271,179
  6. Step 6: Final answer
    x = 553,432.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.