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Finding the Third Proportional to 205,782 and 309,220.50

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Solution

The third proportional to 205,782 and 309,220.50 is: 464,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,782 : 309,220.50 = 309,220.50 : x
  2. Step 2: Convert to fraction form
    205,782/309,220.50 = 309,220.50/x
  3. Step 3: Cross multiply
    205,782x = 309,220.50 × 309,220.50
  4. Step 4: Simplify right side
    205,782x = 95,617,317,620.25
  5. Step 5: Solve for x
    x = 95,617,317,620.25/205,782
  6. Step 6: Final answer
    x = 464,653.46

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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.