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Finding the Third Proportional to 205,566 and 308,355

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Solution

The third proportional to 205,566 and 308,355 is: 462,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566 : 308,355 = 308,355 : x
  2. Step 2: Convert to fraction form
    205,566/308,355 = 308,355/x
  3. Step 3: Cross multiply
    205,566x = 308,355 × 308,355
  4. Step 4: Simplify right side
    205,566x = 95,082,806,025
  5. Step 5: Solve for x
    x = 95,082,806,025/205,566
  6. Step 6: Final answer
    x = 462,541.50

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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.