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Finding the Third Proportional to 205,496 and 301,132

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Solution

The third proportional to 205,496 and 301,132 is: 441,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,496 : 301,132 = 301,132 : x
  2. Step 2: Convert to fraction form
    205,496/301,132 = 301,132/x
  3. Step 3: Cross multiply
    205,496x = 301,132 × 301,132
  4. Step 4: Simplify right side
    205,496x = 90,680,481,424
  5. Step 5: Solve for x
    x = 90,680,481,424/205,496
  6. Step 6: Final answer
    x = 441,276.14

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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.