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Finding the Third Proportional to 123,715 and 264,926

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Solution

The third proportional to 123,715 and 264,926 is: 567,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,715 : 264,926 = 264,926 : x
  2. Step 2: Convert to fraction form
    123,715/264,926 = 264,926/x
  3. Step 3: Cross multiply
    123,715x = 264,926 × 264,926
  4. Step 4: Simplify right side
    123,715x = 70,185,785,476
  5. Step 5: Solve for x
    x = 70,185,785,476/123,715
  6. Step 6: Final answer
    x = 567,318.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.