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Finding the Third Proportional to 123,012.75 and 266,427

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Solution

The third proportional to 123,012.75 and 266,427 is: 577,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,012.75 : 266,427 = 266,427 : x
  2. Step 2: Convert to fraction form
    123,012.75/266,427 = 266,427/x
  3. Step 3: Cross multiply
    123,012.75x = 266,427 × 266,427
  4. Step 4: Simplify right side
    123,012.75x = 70,983,346,329
  5. Step 5: Solve for x
    x = 70,983,346,329/123,012.75
  6. Step 6: Final answer
    x = 577,040.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.