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Finding the Third Proportional to 205,723 and 308,584

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Solution

The third proportional to 205,723 and 308,584 is: 462,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,723 : 308,584 = 308,584 : x
  2. Step 2: Convert to fraction form
    205,723/308,584 = 308,584/x
  3. Step 3: Cross multiply
    205,723x = 308,584 × 308,584
  4. Step 4: Simplify right side
    205,723x = 95,224,085,056
  5. Step 5: Solve for x
    x = 95,224,085,056/205,723
  6. Step 6: Final answer
    x = 462,875.25

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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.