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Finding the Third Proportional to 203,056 and 297,655

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Solution

The third proportional to 203,056 and 297,655 is: 436,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,056 : 297,655 = 297,655 : x
  2. Step 2: Convert to fraction form
    203,056/297,655 = 297,655/x
  3. Step 3: Cross multiply
    203,056x = 297,655 × 297,655
  4. Step 4: Simplify right side
    203,056x = 88,598,499,025
  5. Step 5: Solve for x
    x = 88,598,499,025/203,056
  6. Step 6: Final answer
    x = 436,325.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.