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Finding the Third Proportional to 271,102.13 and 405,832.50

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Solution

The third proportional to 271,102.13 and 405,832.50 is: 607,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,102.13 : 405,832.50 = 405,832.50 : x
  2. Step 2: Convert to fraction form
    271,102.13/405,832.50 = 405,832.50/x
  3. Step 3: Cross multiply
    271,102.13x = 405,832.50 × 405,832.50
  4. Step 4: Simplify right side
    271,102.13x = 164,700,018,056.25
  5. Step 5: Solve for x
    x = 164,700,018,056.25/271,102.13
  6. Step 6: Final answer
    x = 607,520.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.