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Finding the Third Proportional to 123,219 and 266,100.75

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Solution

The third proportional to 123,219 and 266,100.75 is: 574,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219 : 266,100.75 = 266,100.75 : x
  2. Step 2: Convert to fraction form
    123,219/266,100.75 = 266,100.75/x
  3. Step 3: Cross multiply
    123,219x = 266,100.75 × 266,100.75
  4. Step 4: Simplify right side
    123,219x = 70,809,609,150.56
  5. Step 5: Solve for x
    x = 70,809,609,150.56/123,219
  6. Step 6: Final answer
    x = 574,664.70

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