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Finding the Third Proportional to 123,064.31 and 268,904.81

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Solution

The third proportional to 123,064.31 and 268,904.81 is: 587,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,064.31 : 268,904.81 = 268,904.81 : x
  2. Step 2: Convert to fraction form
    123,064.31/268,904.81 = 268,904.81/x
  3. Step 3: Cross multiply
    123,064.31x = 268,904.81 × 268,904.81
  4. Step 4: Simplify right side
    123,064.31x = 72,309,798,185.66
  5. Step 5: Solve for x
    x = 72,309,798,185.66/123,064.31
  6. Step 6: Final answer
    x = 587,577.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.