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Finding the Third Proportional to 205,732 and 308,598

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Solution

The third proportional to 205,732 and 308,598 is: 462,897

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732 : 308,598 = 308,598 : x
  2. Step 2: Convert to fraction form
    205,732/308,598 = 308,598/x
  3. Step 3: Cross multiply
    205,732x = 308,598 × 308,598
  4. Step 4: Simplify right side
    205,732x = 95,232,725,604
  5. Step 5: Solve for x
    x = 95,232,725,604/205,732
  6. Step 6: Final answer
    x = 462,897

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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.