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Finding the Third Proportional to 271,102.50 and 405,833.06

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Solution

The third proportional to 271,102.50 and 405,833.06 is: 607,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,102.50 : 405,833.06 = 405,833.06 : x
  2. Step 2: Convert to fraction form
    271,102.50/405,833.06 = 405,833.06/x
  3. Step 3: Cross multiply
    271,102.50x = 405,833.06 × 405,833.06
  4. Step 4: Simplify right side
    271,102.50x = 164,700,474,618.13
  5. Step 5: Solve for x
    x = 164,700,474,618.13/271,102.50
  6. Step 6: Final answer
    x = 607,521.05

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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.