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Finding the Third Proportional to 203,374 and 309,205

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Solution

The third proportional to 203,374 and 309,205 is: 470,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,374 : 309,205 = 309,205 : x
  2. Step 2: Convert to fraction form
    203,374/309,205 = 309,205/x
  3. Step 3: Cross multiply
    203,374x = 309,205 × 309,205
  4. Step 4: Simplify right side
    203,374x = 95,607,732,025
  5. Step 5: Solve for x
    x = 95,607,732,025/203,374
  6. Step 6: Final answer
    x = 470,107.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.