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Finding the Third Proportional to 205,571 and 308,363

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Solution

The third proportional to 205,571 and 308,363 is: 462,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,571 : 308,363 = 308,363 : x
  2. Step 2: Convert to fraction form
    205,571/308,363 = 308,363/x
  3. Step 3: Cross multiply
    205,571x = 308,363 × 308,363
  4. Step 4: Simplify right side
    205,571x = 95,087,739,769
  5. Step 5: Solve for x
    x = 95,087,739,769/205,571
  6. Step 6: Final answer
    x = 462,554.25

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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.