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Finding the Third Proportional to 205,444 and 288,462

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Solution

The third proportional to 205,444 and 288,462 is: 405,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,444 : 288,462 = 288,462 : x
  2. Step 2: Convert to fraction form
    205,444/288,462 = 288,462/x
  3. Step 3: Cross multiply
    205,444x = 288,462 × 288,462
  4. Step 4: Simplify right side
    205,444x = 83,210,325,444
  5. Step 5: Solve for x
    x = 83,210,325,444/205,444
  6. Step 6: Final answer
    x = 405,026.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.