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Finding the Third Proportional to 205,598 and 308,396

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Solution

The third proportional to 205,598 and 308,396 is: 462,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598 : 308,396 = 308,396 : x
  2. Step 2: Convert to fraction form
    205,598/308,396 = 308,396/x
  3. Step 3: Cross multiply
    205,598x = 308,396 × 308,396
  4. Step 4: Simplify right side
    205,598x = 95,108,092,816
  5. Step 5: Solve for x
    x = 95,108,092,816/205,598
  6. Step 6: Final answer
    x = 462,592.50

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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.