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Finding the Third Proportional to 205,449 and 301,086

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Solution

The third proportional to 205,449 and 301,086 is: 441,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,449 : 301,086 = 301,086 : x
  2. Step 2: Convert to fraction form
    205,449/301,086 = 301,086/x
  3. Step 3: Cross multiply
    205,449x = 301,086 × 301,086
  4. Step 4: Simplify right side
    205,449x = 90,652,779,396
  5. Step 5: Solve for x
    x = 90,652,779,396/205,449
  6. Step 6: Final answer
    x = 441,242.25

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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.