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Finding the Third Proportional to 123,272.72 and 265,270.78

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Solution

The third proportional to 123,272.72 and 265,270.78 is: 570,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,272.72 : 265,270.78 = 265,270.78 : x
  2. Step 2: Convert to fraction form
    123,272.72/265,270.78 = 265,270.78/x
  3. Step 3: Cross multiply
    123,272.72x = 265,270.78 × 265,270.78
  4. Step 4: Simplify right side
    123,272.72x = 70,368,587,384.99
  5. Step 5: Solve for x
    x = 70,368,587,384.99/123,272.72
  6. Step 6: Final answer
    x = 570,836.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.