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Finding the Third Proportional to 123,154.80 and 266,550.75

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Solution

The third proportional to 123,154.80 and 266,550.75 is: 576,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,154.80 : 266,550.75 = 266,550.75 : x
  2. Step 2: Convert to fraction form
    123,154.80/266,550.75 = 266,550.75/x
  3. Step 3: Cross multiply
    123,154.80x = 266,550.75 × 266,550.75
  4. Step 4: Simplify right side
    123,154.80x = 71,049,302,325.56
  5. Step 5: Solve for x
    x = 71,049,302,325.56/123,154.80
  6. Step 6: Final answer
    x = 576,910.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.