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Finding the Third Proportional to 134,325 and 282,497

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Solution

The third proportional to 134,325 and 282,497 is: 594,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,325 : 282,497 = 282,497 : x
  2. Step 2: Convert to fraction form
    134,325/282,497 = 282,497/x
  3. Step 3: Cross multiply
    134,325x = 282,497 × 282,497
  4. Step 4: Simplify right side
    134,325x = 79,804,555,009
  5. Step 5: Solve for x
    x = 79,804,555,009/134,325
  6. Step 6: Final answer
    x = 594,115.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.