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Finding the Third Proportional to 123,282 and 270,810

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Solution

The third proportional to 123,282 and 270,810 is: 594,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,282 : 270,810 = 270,810 : x
  2. Step 2: Convert to fraction form
    123,282/270,810 = 270,810/x
  3. Step 3: Cross multiply
    123,282x = 270,810 × 270,810
  4. Step 4: Simplify right side
    123,282x = 73,338,056,100
  5. Step 5: Solve for x
    x = 73,338,056,100/123,282
  6. Step 6: Final answer
    x = 594,880.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.