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Finding the Third Proportional to 206,575.50 and 437,955

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Solution

The third proportional to 206,575.50 and 437,955 is: 928,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,575.50 : 437,955 = 437,955 : x
  2. Step 2: Convert to fraction form
    206,575.50/437,955 = 437,955/x
  3. Step 3: Cross multiply
    206,575.50x = 437,955 × 437,955
  4. Step 4: Simplify right side
    206,575.50x = 191,804,582,025
  5. Step 5: Solve for x
    x = 191,804,582,025/206,575.50
  6. Step 6: Final answer
    x = 928,496.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.