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Finding the Third Proportional to 205,848 and 309,264

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Solution

The third proportional to 205,848 and 309,264 is: 464,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,848 : 309,264 = 309,264 : x
  2. Step 2: Convert to fraction form
    205,848/309,264 = 309,264/x
  3. Step 3: Cross multiply
    205,848x = 309,264 × 309,264
  4. Step 4: Simplify right side
    205,848x = 95,644,221,696
  5. Step 5: Solve for x
    x = 95,644,221,696/205,848
  6. Step 6: Final answer
    x = 464,635.18

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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.